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Finding the Fourth Proportional to 97.91, 135.17 and 77.15

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Solution

The fourth proportional to 97.91, 135.17 and 77.15 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.91 : 135.17 = 77.15 : x
  2. Step 2: Convert to fraction form
    97.91/135.17 = 77.15/x
  3. Step 3: Cross multiply
    97.91x = 135.17 × 77.15
  4. Step 4: Simplify right side
    97.91x = 10,428.61
  5. Step 5: Solve for x
    x = 10,428.61/97.91
  6. Step 6: Final answer
    x = 106.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.