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Finding the Fourth Proportional to 61.29, 91.14 and 61.14

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Solution

The fourth proportional to 61.29, 91.14 and 61.14 is: 90.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.29 : 91.14 = 61.14 : x
  2. Step 2: Convert to fraction form
    61.29/91.14 = 61.14/x
  3. Step 3: Cross multiply
    61.29x = 91.14 × 61.14
  4. Step 4: Simplify right side
    61.29x = 5,572.30
  5. Step 5: Solve for x
    x = 5,572.30/61.29
  6. Step 6: Final answer
    x = 90.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.