Finding the Fourth Proportional to 432.81, 649.44 and 201.64
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Solution
The fourth proportional to 432.81, 649.44 and 201.64 is: 302.57
Step by Step Solution
- Step 1: Write the proportion equation
432.81 : 649.44 = 201.64 : x - Step 2: Convert to fraction form
432.81/649.44 = 201.64/x - Step 3: Cross multiply
432.81x = 649.44 × 201.64 - Step 4: Simplify right side
432.81x = 130,953.24 - Step 5: Solve for x
x = 130,953.24/432.81 - Step 6: Final answer
x = 302.57
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.