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Finding the Fourth Proportional to 66.38, 99.62 and 61.17

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Solution

The fourth proportional to 66.38, 99.62 and 61.17 is: 91.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.38 : 99.62 = 61.17 : x
  2. Step 2: Convert to fraction form
    66.38/99.62 = 61.17/x
  3. Step 3: Cross multiply
    66.38x = 99.62 × 61.17
  4. Step 4: Simplify right side
    66.38x = 6,093.45
  5. Step 5: Solve for x
    x = 6,093.45/66.38
  6. Step 6: Final answer
    x = 91.80

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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.