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Finding the Fourth Proportional to 414.97, 572.75 and 249.19

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Solution

The fourth proportional to 414.97, 572.75 and 249.19 is: 343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.97 : 572.75 = 249.19 : x
  2. Step 2: Convert to fraction form
    414.97/572.75 = 249.19/x
  3. Step 3: Cross multiply
    414.97x = 572.75 × 249.19
  4. Step 4: Simplify right side
    414.97x = 142,722.33
  5. Step 5: Solve for x
    x = 142,722.33/414.97
  6. Step 6: Final answer
    x = 343.93

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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.