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Finding the Fourth Proportional to 414.74, 572.24 and 248.88

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Solution

The fourth proportional to 414.74, 572.24 and 248.88 is: 343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 572.24 = 248.88 : x
  2. Step 2: Convert to fraction form
    414.74/572.24 = 248.88/x
  3. Step 3: Cross multiply
    414.74x = 572.24 × 248.88
  4. Step 4: Simplify right side
    414.74x = 142,419.09
  5. Step 5: Solve for x
    x = 142,419.09/414.74
  6. Step 6: Final answer
    x = 343.39

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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.