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Finding the Fourth Proportional to 432.61, 649.06 and 140.15

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Solution

The fourth proportional to 432.61, 649.06 and 140.15 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 649.06 = 140.15 : x
  2. Step 2: Convert to fraction form
    432.61/649.06 = 140.15/x
  3. Step 3: Cross multiply
    432.61x = 649.06 × 140.15
  4. Step 4: Simplify right side
    432.61x = 90,967.03
  5. Step 5: Solve for x
    x = 90,967.03/432.61
  6. Step 6: Final answer
    x = 210.28

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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.