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Finding the Fourth Proportional to 66.62, 99.38 and 65.28

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Solution

The fourth proportional to 66.62, 99.38 and 65.28 is: 97.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.62 : 99.38 = 65.28 : x
  2. Step 2: Convert to fraction form
    66.62/99.38 = 65.28/x
  3. Step 3: Cross multiply
    66.62x = 99.38 × 65.28
  4. Step 4: Simplify right side
    66.62x = 6,487.53
  5. Step 5: Solve for x
    x = 6,487.53/66.62
  6. Step 6: Final answer
    x = 97.38

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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.