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Finding the Fourth Proportional to 414.65, 572.31 and 248.90

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Solution

The fourth proportional to 414.65, 572.31 and 248.90 is: 343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.65 : 572.31 = 248.90 : x
  2. Step 2: Convert to fraction form
    414.65/572.31 = 248.90/x
  3. Step 3: Cross multiply
    414.65x = 572.31 × 248.90
  4. Step 4: Simplify right side
    414.65x = 142,445.10
  5. Step 5: Solve for x
    x = 142,445.10/414.65
  6. Step 6: Final answer
    x = 343.54

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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.