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Finding the Fourth Proportional to 86.92, 130.31 and 41.26

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Solution

The fourth proportional to 86.92, 130.31 and 41.26 is: 61.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.92 : 130.31 = 41.26 : x
  2. Step 2: Convert to fraction form
    86.92/130.31 = 41.26/x
  3. Step 3: Cross multiply
    86.92x = 130.31 × 41.26
  4. Step 4: Simplify right side
    86.92x = 5,376.46
  5. Step 5: Solve for x
    x = 5,376.46/86.92
  6. Step 6: Final answer
    x = 61.85

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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.