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Finding the Fourth Proportional to 129.67, 193.45 and 128.75

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Solution

The fourth proportional to 129.67, 193.45 and 128.75 is: 192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.67 : 193.45 = 128.75 : x
  2. Step 2: Convert to fraction form
    129.67/193.45 = 128.75/x
  3. Step 3: Cross multiply
    129.67x = 193.45 × 128.75
  4. Step 4: Simplify right side
    129.67x = 24,906.85
  5. Step 5: Solve for x
    x = 24,906.85/129.67
  6. Step 6: Final answer
    x = 192.08

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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.