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Finding the Fourth Proportional to 129.40, 194.17 and 57.25

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Solution

The fourth proportional to 129.40, 194.17 and 57.25 is: 85.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 194.17 = 57.25 : x
  2. Step 2: Convert to fraction form
    129.40/194.17 = 57.25/x
  3. Step 3: Cross multiply
    129.40x = 194.17 × 57.25
  4. Step 4: Simplify right side
    129.40x = 11,116.23
  5. Step 5: Solve for x
    x = 11,116.23/129.40
  6. Step 6: Final answer
    x = 85.91

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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.