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Finding the Fourth Proportional to 414.17, 621.24 and 167.28

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Solution

The fourth proportional to 414.17, 621.24 and 167.28 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 621.24 = 167.28 : x
  2. Step 2: Convert to fraction form
    414.17/621.24 = 167.28/x
  3. Step 3: Cross multiply
    414.17x = 621.24 × 167.28
  4. Step 4: Simplify right side
    414.17x = 103,921.03
  5. Step 5: Solve for x
    x = 103,921.03/414.17
  6. Step 6: Final answer
    x = 250.91

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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.