Even if this question is almost 2 years old - I recently faced the same problem and thought I would share a solution:
Open the site page (default.aspx or homepage.aspx) in SharePoint Designer. Find the content placeholder which hosts your profile browser web part.
Check, if there is already a style block for this placeholder, otherwise add a new one:
Inside the style block add the following css definition:
Don't know, if the ID is the same in your case. You can check the ID of the 'div' tag by using the F12 tools in IE.
Now you can change the height of your web part via 'Edit Page' => 'Edit Web Part' to [your height].