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Finding the Fourth Proportional to 414.67, 622.20 and 171.13

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Solution

The fourth proportional to 414.67, 622.20 and 171.13 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.67 : 622.20 = 171.13 : x
  2. Step 2: Convert to fraction form
    414.67/622.20 = 171.13/x
  3. Step 3: Cross multiply
    414.67x = 622.20 × 171.13
  4. Step 4: Simplify right side
    414.67x = 106,477.09
  5. Step 5: Solve for x
    x = 106,477.09/414.67
  6. Step 6: Final answer
    x = 256.78

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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.