I’ve just been dealing with this same issue on a site I’m working on.
It should work better if you put the php within the div rather than the other way around. You also seem to have a few syntax errors in your code. Try this:
<div style="Width:300px; height:220px; Float:Right; Margin-Right:10px;"><?php echo do_shortcode ('[jj-ngg-jquery-slider gallery="1" html_id="about-slider" width="200" height="150" center="1"]'); ?></div>
I hope this helps.