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Finding the Fourth Proportional to 432.78, 649.02 and 140.27

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Solution

The fourth proportional to 432.78, 649.02 and 140.27 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 649.02 = 140.27 : x
  2. Step 2: Convert to fraction form
    432.78/649.02 = 140.27/x
  3. Step 3: Cross multiply
    432.78x = 649.02 × 140.27
  4. Step 4: Simplify right side
    432.78x = 91,034.79
  5. Step 5: Solve for x
    x = 91,034.79/432.78
  6. Step 6: Final answer
    x = 210.35

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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.