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Finding the Fourth Proportional to 140.97, 194.50 and 82.74

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Solution

The fourth proportional to 140.97, 194.50 and 82.74 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 194.50 = 82.74 : x
  2. Step 2: Convert to fraction form
    140.97/194.50 = 82.74/x
  3. Step 3: Cross multiply
    140.97x = 194.50 × 82.74
  4. Step 4: Simplify right side
    140.97x = 16,091.75
  5. Step 5: Solve for x
    x = 16,091.75/140.97
  6. Step 6: Final answer
    x = 114.15

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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.