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Finding the Fourth Proportional to 325.38, 488.07 and 81.92

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Solution

The fourth proportional to 325.38, 488.07 and 81.92 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 488.07 = 81.92 : x
  2. Step 2: Convert to fraction form
    325.38/488.07 = 81.92/x
  3. Step 3: Cross multiply
    325.38x = 488.07 × 81.92
  4. Step 4: Simplify right side
    325.38x = 39,980.25
  5. Step 5: Solve for x
    x = 39,980.25/325.38
  6. Step 6: Final answer
    x = 122.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.