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Finding the Fourth Proportional to 102.29, 141.12 and 58.61

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Solution

The fourth proportional to 102.29, 141.12 and 58.61 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 141.12 = 58.61 : x
  2. Step 2: Convert to fraction form
    102.29/141.12 = 58.61/x
  3. Step 3: Cross multiply
    102.29x = 141.12 × 58.61
  4. Step 4: Simplify right side
    102.29x = 8,270.34
  5. Step 5: Solve for x
    x = 8,270.34/102.29
  6. Step 6: Final answer
    x = 80.86

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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.