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Finding the Fourth Proportional to 432.80, 649.09 and 201.47

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Solution

The fourth proportional to 432.80, 649.09 and 201.47 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 649.09 = 201.47 : x
  2. Step 2: Convert to fraction form
    432.80/649.09 = 201.47/x
  3. Step 3: Cross multiply
    432.80x = 649.09 × 201.47
  4. Step 4: Simplify right side
    432.80x = 130,767.91
  5. Step 5: Solve for x
    x = 130,767.91/432.80
  6. Step 6: Final answer
    x = 302.15

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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.