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Finding the Fourth Proportional to 82.38, 122.72 and 77.82

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Solution

The fourth proportional to 82.38, 122.72 and 77.82 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 122.72 = 77.82 : x
  2. Step 2: Convert to fraction form
    82.38/122.72 = 77.82/x
  3. Step 3: Cross multiply
    82.38x = 122.72 × 77.82
  4. Step 4: Simplify right side
    82.38x = 9,549.68
  5. Step 5: Solve for x
    x = 9,549.68/82.38
  6. Step 6: Final answer
    x = 115.92

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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.