Android : Layout with height wath_parent inside scrollview

I need place three FrameLayouts with height equal to the height of the screen inside scrollView.

This picture shows the problem.

                  <scrollView>
_____________    ______________  
|  screen   |    |            |
|           |    |  FL1       |
|           |    |            |
|           |    |            |
|           |    |            |
_____________    ______________
                 ______________ 
                 |            |
                 | FL2        |
                 |            |
                 |            |
                 |            |
                 ______________
                 ______________ 
                 |            |
                 | FL3        |
                 |            |
                 |            |
                 |            |
                 ______________
                 </scrollView>

This is my code. I tried to use Relative Layout. Maybe there is solving this Linear Layout. I could not do it.

<ScrollView
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:fillViewport="true">

    <RelativeLayout android:layout_width="match_parent"
                    android:layout_height="wrap_content"
                    android:layout_gravity="center">

        <FrameLayout
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:background="@android:color/black"
                android:id="@+id/frameLayout1"
                android:layout_alignParentTop="true"
                android:layout_alignParentLeft="true"
                android:layout_alignParentStart="true"/>


        <FrameLayout
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:background="@android:color/background_light"
                android:orientation="vertical"
                android:layout_below="@+id/frameLayout1"
                android:id="@+id/frameLayout2"/>

        <FrameLayout
                android:layout_width="match_parent"
                android:layout_height="match_parent"
                android:background="@android:color/black"
                android:orientation="vertical"
                android:layout_below="@+id/frameLayout2"
                />

    </RelativeLayout>
</ScrollView>

Framelayouts do not have height equals of screen, how to fix it?