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Finding the Fourth Proportional to 129.96, 193.92 and 128.58

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Solution

The fourth proportional to 129.96, 193.92 and 128.58 is: 191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 193.92 = 128.58 : x
  2. Step 2: Convert to fraction form
    129.96/193.92 = 128.58/x
  3. Step 3: Cross multiply
    129.96x = 193.92 × 128.58
  4. Step 4: Simplify right side
    129.96x = 24,934.23
  5. Step 5: Solve for x
    x = 24,934.23/129.96
  6. Step 6: Final answer
    x = 191.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.