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Finding the Fourth Proportional to 129.08, 194.46 and 128.24

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Solution

The fourth proportional to 129.08, 194.46 and 128.24 is: 193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.08 : 194.46 = 128.24 : x
  2. Step 2: Convert to fraction form
    129.08/194.46 = 128.24/x
  3. Step 3: Cross multiply
    129.08x = 194.46 × 128.24
  4. Step 4: Simplify right side
    129.08x = 24,937.55
  5. Step 5: Solve for x
    x = 24,937.55/129.08
  6. Step 6: Final answer
    x = 193.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.