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By ratio if you mean size, the answer is no unless the car comes from the factory with a different size rear tires than front tires like some sports cars. In that case you would have 2 tires the same size on the front and 2 tires another size on the rear. You should never ever run 2 different size tires on the same axle. Therefore you would never have a situation where you would have 3 tires one size and then 1 tire another size.
I would go with rims that are close to the same size of the tires.
The 2001 Porsche 911 has a 3.4 L base engine size.
The 2014 Porsche Cayman has a 2.7 L base engine size.
The 2006 Porsche 911 has a 3.6 L base engine size.
The 2010 Porsche Panamera has a 4.8 L base engine size.
The 2002 Porsche Boxster has a 2.7 L base engine size.
The 2008 Porsche Cayman has a 2.7 L base engine size.
The 2014 Porsche Panamera has a 3.6 L base engine size.
The 2010 Porsche Cayman has a 2.9 L base engine size.
The 2013 Porsche 911 has a 3.4 L base engine size.
The 2011 Porsche Cayenne has a 3.6 L base engine size.