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Finding the Fourth Proportional to 140.91, 194.32 and 129.88

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Solution

The fourth proportional to 140.91, 194.32 and 129.88 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 194.32 = 129.88 : x
  2. Step 2: Convert to fraction form
    140.91/194.32 = 129.88/x
  3. Step 3: Cross multiply
    140.91x = 194.32 × 129.88
  4. Step 4: Simplify right side
    140.91x = 25,236.86
  5. Step 5: Solve for x
    x = 25,236.86/140.91
  6. Step 6: Final answer
    x = 179.10

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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.