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Finding the Fourth Proportional to 92.52, 127.38 and 86.31

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Solution

The fourth proportional to 92.52, 127.38 and 86.31 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 127.38 = 86.31 : x
  2. Step 2: Convert to fraction form
    92.52/127.38 = 86.31/x
  3. Step 3: Cross multiply
    92.52x = 127.38 × 86.31
  4. Step 4: Simplify right side
    92.52x = 10,994.17
  5. Step 5: Solve for x
    x = 10,994.17/92.52
  6. Step 6: Final answer
    x = 118.83

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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.