If the red you are looking for is Pantone Chinese Red, Pantone 18-1663 TCX, then here is a link to a site that lists several Pantone colors, including 18-1663 TCX, and will link you out to Adobe Kuler with all of the color info.
Site:
http://force4u.cocolog-nifty.com/skywalker/2011/01/kuler-linkpanto.htmlscroll down to the 18-1663 TCX entry, or do a find in your web browser for "Chinese Red" to find the entry on the list.
Clicking on the link takes you to the Kuler web interface with the color information displayed below the color swatch. I have no idea if this information is at all accurate.
The Kuler information lists this red as:
L53 a80 b67.
If you create a new PS document in ProPhotoRGB and enter this LAB value, you get:
R174 G68 B27
Convert to AdobeRGB and you get:
R215 G0 B14 (RelCol).
(in AbsCol intent, R220 G0 B0).
Convert to sRGB:
R250 G0 B10.
(R255 G0 B0 AbsCol).
For this red, you might need to measure it from a sample of the shoe or the pigment/paint.
kirk