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Finding the Fourth Proportional to 69.67, 96.15 and 55.97

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Solution

The fourth proportional to 69.67, 96.15 and 55.97 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 96.15 = 55.97 : x
  2. Step 2: Convert to fraction form
    69.67/96.15 = 55.97/x
  3. Step 3: Cross multiply
    69.67x = 96.15 × 55.97
  4. Step 4: Simplify right side
    69.67x = 5,381.52
  5. Step 5: Solve for x
    x = 5,381.52/69.67
  6. Step 6: Final answer
    x = 77.24

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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.