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Finding the Fourth Proportional to 414.75, 622.13 and 106.61

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Solution

The fourth proportional to 414.75, 622.13 and 106.61 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 622.13 = 106.61 : x
  2. Step 2: Convert to fraction form
    414.75/622.13 = 106.61/x
  3. Step 3: Cross multiply
    414.75x = 622.13 × 106.61
  4. Step 4: Simplify right side
    414.75x = 66,321.64
  5. Step 5: Solve for x
    x = 66,321.64/414.75
  6. Step 6: Final answer
    x = 159.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.