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Finding the Fourth Proportional to 129.83, 179.15 and 74.58

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Solution

The fourth proportional to 129.83, 179.15 and 74.58 is: 102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.83 : 179.15 = 74.58 : x
  2. Step 2: Convert to fraction form
    129.83/179.15 = 74.58/x
  3. Step 3: Cross multiply
    129.83x = 179.15 × 74.58
  4. Step 4: Simplify right side
    129.83x = 13,361.01
  5. Step 5: Solve for x
    x = 13,361.01/129.83
  6. Step 6: Final answer
    x = 102.91

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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.