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Finding the Fourth Proportional to 129.67, 178.90 and 83.08

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Solution

The fourth proportional to 129.67, 178.90 and 83.08 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.67 : 178.90 = 83.08 : x
  2. Step 2: Convert to fraction form
    129.67/178.90 = 83.08/x
  3. Step 3: Cross multiply
    129.67x = 178.90 × 83.08
  4. Step 4: Simplify right side
    129.67x = 14,863.01
  5. Step 5: Solve for x
    x = 14,863.01/129.67
  6. Step 6: Final answer
    x = 114.62

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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.