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Finding the Fourth Proportional to 129.93, 179.28 and 77.49

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Solution

The fourth proportional to 129.93, 179.28 and 77.49 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.93 : 179.28 = 77.49 : x
  2. Step 2: Convert to fraction form
    129.93/179.28 = 77.49/x
  3. Step 3: Cross multiply
    129.93x = 179.28 × 77.49
  4. Step 4: Simplify right side
    129.93x = 13,892.41
  5. Step 5: Solve for x
    x = 13,892.41/129.93
  6. Step 6: Final answer
    x = 106.92

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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.