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Finding the Fourth Proportional to 91.97, 137.75 and 86.50

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Solution

The fourth proportional to 91.97, 137.75 and 86.50 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.97 : 137.75 = 86.50 : x
  2. Step 2: Convert to fraction form
    91.97/137.75 = 86.50/x
  3. Step 3: Cross multiply
    91.97x = 137.75 × 86.50
  4. Step 4: Simplify right side
    91.97x = 11,915.11
  5. Step 5: Solve for x
    x = 11,915.11/91.97
  6. Step 6: Final answer
    x = 129.56

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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.