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Finding the Fourth Proportional to 418.46, 627.71 and 129.88

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Solution

The fourth proportional to 418.46, 627.71 and 129.88 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.46 : 627.71 = 129.88 : x
  2. Step 2: Convert to fraction form
    418.46/627.71 = 129.88/x
  3. Step 3: Cross multiply
    418.46x = 627.71 × 129.88
  4. Step 4: Simplify right side
    418.46x = 81,526.97
  5. Step 5: Solve for x
    x = 81,526.97/418.46
  6. Step 6: Final answer
    x = 194.83

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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.