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Finding the Fourth Proportional to 61.38, 84.42 and 51.66

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Solution

The fourth proportional to 61.38, 84.42 and 51.66 is: 71.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 84.42 = 51.66 : x
  2. Step 2: Convert to fraction form
    61.38/84.42 = 51.66/x
  3. Step 3: Cross multiply
    61.38x = 84.42 × 51.66
  4. Step 4: Simplify right side
    61.38x = 4,361.14
  5. Step 5: Solve for x
    x = 4,361.14/61.38
  6. Step 6: Final answer
    x = 71.05

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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.