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Finding the Fourth Proportional to 414.90, 572.11 and 274.97

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Solution

The fourth proportional to 414.90, 572.11 and 274.97 is: 379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 572.11 = 274.97 : x
  2. Step 2: Convert to fraction form
    414.90/572.11 = 274.97/x
  3. Step 3: Cross multiply
    414.90x = 572.11 × 274.97
  4. Step 4: Simplify right side
    414.90x = 157,311.66
  5. Step 5: Solve for x
    x = 157,311.66/414.90
  6. Step 6: Final answer
    x = 379.16

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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.