dryer
I have been looking online on how to do this, but everything I see talks about an existing white cord for the ground. Here's where I'm at. 
The wires in front is the new cord, and in the back is how the dryer (Ariston 30616) was set up with the 3 prong cord. Any help?
-edit-
Here's how I set it up:
And here's the diagram on the dryer:
Can anyone verify that this is correct?
DO NOT connect the ground wire to the grounded (neutral) conductor, as this could lead to current flowing through the body of the dryer (and potentially through you).
The installation guide for the dryer will have wiring instructions for both 3, and 4 wire configurations. Check the manufacturers documentation for proper wiring, but I would say the first image is likely correct.
Instructions from random Maytag Installation Instructions (PDF)
After doing some research, and looking at dryer wiring diagrams. It turns out that the green/yellow wire is not a ground wire, it is a neutral to case bonding wire. When this wire is not in use (in a 4-wire installation for example), it is simply connected to the neutral terminal and is unused.
Assuming you are asking about US residential biphase 240 volt wiring (or equivelant), then there is nothing wrong with reversing the black and red wires.
Best Answer
Looks correct. You connected Red and black to L1 and L2, white to Neutral, and green to Ground. Also, you removed the jumper between N and G.