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Finding the Fourth Proportional to 414.78, 572.16 and 257.30

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Solution

The fourth proportional to 414.78, 572.16 and 257.30 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 572.16 = 257.30 : x
  2. Step 2: Convert to fraction form
    414.78/572.16 = 257.30/x
  3. Step 3: Cross multiply
    414.78x = 572.16 × 257.30
  4. Step 4: Simplify right side
    414.78x = 147,216.77
  5. Step 5: Solve for x
    x = 147,216.77/414.78
  6. Step 6: Final answer
    x = 354.93

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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.