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Finding the Fourth Proportional to 129.31, 194.05 and 68.49

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Solution

The fourth proportional to 129.31, 194.05 and 68.49 is: 102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.31 : 194.05 = 68.49 : x
  2. Step 2: Convert to fraction form
    129.31/194.05 = 68.49/x
  3. Step 3: Cross multiply
    129.31x = 194.05 × 68.49
  4. Step 4: Simplify right side
    129.31x = 13,290.48
  5. Step 5: Solve for x
    x = 13,290.48/129.31
  6. Step 6: Final answer
    x = 102.78

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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.