I figured out why the portrait view wasn't totally filling the viewport. At least in my case, it was because the scrollbar was always showing. In addition to the viewport code above, try adding this:
browser.setScrollBarStyle(WebView.SCROLLBARS_OUTSIDE_OVERLAY);
browser.setScrollbarFadingEnabled(false);
This causes the scrollbar to not take up layout space, and allows the webpage to fill the viewport.
Hope this helps