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Finding the Fourth Proportional to 414.75, 622.17 and 232.20

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Solution

The fourth proportional to 414.75, 622.17 and 232.20 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 622.17 = 232.20 : x
  2. Step 2: Convert to fraction form
    414.75/622.17 = 232.20/x
  3. Step 3: Cross multiply
    414.75x = 622.17 × 232.20
  4. Step 4: Simplify right side
    414.75x = 144,467.87
  5. Step 5: Solve for x
    x = 144,467.87/414.75
  6. Step 6: Final answer
    x = 348.33

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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.