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Finding the Fourth Proportional to 414.82, 572.47 and 257.54

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Solution

The fourth proportional to 414.82, 572.47 and 257.54 is: 355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 572.47 = 257.54 : x
  2. Step 2: Convert to fraction form
    414.82/572.47 = 257.54/x
  3. Step 3: Cross multiply
    414.82x = 572.47 × 257.54
  4. Step 4: Simplify right side
    414.82x = 147,433.92
  5. Step 5: Solve for x
    x = 147,433.92/414.82
  6. Step 6: Final answer
    x = 355.42

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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.