Flat-plane cranks are used in V-configuration engines, generally with eight cylinders.
The flat-plane crankshaft is a design that is no longer used in most mass production road cars as it is more prone to vibration and is inherently much louder than a crossplane crankshaft. However, due to its simpler construction requiring less counterweight, it is inherently lighter with a higher rev limit. For this reason, it remains useful in sports and racing cars. Flat-plane crankshafts are generally associated with European sports cars such as Ferrari and Lotus V8 engines, and cross-plane cranks with American manufacturers. There are some exceptions such as the Ferrari-designed crossplane crank V8 of the Lancia Thema 8.32 and the flat-plane crank Ford Mustang GT350. 
The way in which a flat-plane works within a V8 engine is more like two in-line 4-cylinder engines mated together, with the firing order of each order being in a Right-Left-Right-Left-Right-Left-Right-Left pattern. Being in this in-line configuration allows for the engine to rev much faster, making it more suitable for racing engines.