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Finding the Fourth Proportional to 129.79, 178.96 and 92.93

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Solution

The fourth proportional to 129.79, 178.96 and 92.93 is: 128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.79 : 178.96 = 92.93 : x
  2. Step 2: Convert to fraction form
    129.79/178.96 = 92.93/x
  3. Step 3: Cross multiply
    129.79x = 178.96 × 92.93
  4. Step 4: Simplify right side
    129.79x = 16,630.75
  5. Step 5: Solve for x
    x = 16,630.75/129.79
  6. Step 6: Final answer
    x = 128.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.