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Finding the Fourth Proportional to 94.31, 140.75 and 91.88

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Solution

The fourth proportional to 94.31, 140.75 and 91.88 is: 137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 140.75 = 91.88 : x
  2. Step 2: Convert to fraction form
    94.31/140.75 = 91.88/x
  3. Step 3: Cross multiply
    94.31x = 140.75 × 91.88
  4. Step 4: Simplify right side
    94.31x = 12,932.11
  5. Step 5: Solve for x
    x = 12,932.11/94.31
  6. Step 6: Final answer
    x = 137.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.