How do I have a reverse proxy work with or without the trailing slash?

Question

I have a apache web server that needs to reverse proxy a site. So example.com/test/ or example.com/test pull from the same other webserver. I have setup a reverse proxy for the one without the trailing slash like this:

ProxyPass /test http://othersite.com/test
ProxyPassReverse /testhttp://othersite.com/test

But it doesn't work with a trailing slash.

Any Ideas?

Thanks.