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Finding the Fourth Proportional to 129.74, 179.28 and 116.10

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Solution

The fourth proportional to 129.74, 179.28 and 116.10 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.74 : 179.28 = 116.10 : x
  2. Step 2: Convert to fraction form
    129.74/179.28 = 116.10/x
  3. Step 3: Cross multiply
    129.74x = 179.28 × 116.10
  4. Step 4: Simplify right side
    129.74x = 20,814.41
  5. Step 5: Solve for x
    x = 20,814.41/129.74
  6. Step 6: Final answer
    x = 160.44

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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.