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Finding the Fourth Proportional to 61.69, 84.97 and 51.38

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Solution

The fourth proportional to 61.69, 84.97 and 51.38 is: 70.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.69 : 84.97 = 51.38 : x
  2. Step 2: Convert to fraction form
    61.69/84.97 = 51.38/x
  3. Step 3: Cross multiply
    61.69x = 84.97 × 51.38
  4. Step 4: Simplify right side
    61.69x = 4,366.34
  5. Step 5: Solve for x
    x = 4,366.34/61.69
  6. Step 6: Final answer
    x = 70.78

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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.