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Finding the Fourth Proportional to 65.38, 97.48 and 55.66

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Solution

The fourth proportional to 65.38, 97.48 and 55.66 is: 82.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 97.48 = 55.66 : x
  2. Step 2: Convert to fraction form
    65.38/97.48 = 55.66/x
  3. Step 3: Cross multiply
    65.38x = 97.48 × 55.66
  4. Step 4: Simplify right side
    65.38x = 5,425.74
  5. Step 5: Solve for x
    x = 5,425.74/65.38
  6. Step 6: Final answer
    x = 82.99

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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.