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Finding the Fourth Proportional to 414.78, 572.26 and 257.33

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Solution

The fourth proportional to 414.78, 572.26 and 257.33 is: 355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 572.26 = 257.33 : x
  2. Step 2: Convert to fraction form
    414.78/572.26 = 257.33/x
  3. Step 3: Cross multiply
    414.78x = 572.26 × 257.33
  4. Step 4: Simplify right side
    414.78x = 147,259.67
  5. Step 5: Solve for x
    x = 147,259.67/414.78
  6. Step 6: Final answer
    x = 355.03

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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.