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Finding the Fourth Proportional to 129.39, 194.12 and 38.08

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Solution

The fourth proportional to 129.39, 194.12 and 38.08 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.39 : 194.12 = 38.08 : x
  2. Step 2: Convert to fraction form
    129.39/194.12 = 38.08/x
  3. Step 3: Cross multiply
    129.39x = 194.12 × 38.08
  4. Step 4: Simplify right side
    129.39x = 7,392.09
  5. Step 5: Solve for x
    x = 7,392.09/129.39
  6. Step 6: Final answer
    x = 57.13

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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.