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Finding the Fourth Proportional to 414.71, 572.10 and 274.62

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Solution

The fourth proportional to 414.71, 572.10 and 274.62 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.71 : 572.10 = 274.62 : x
  2. Step 2: Convert to fraction form
    414.71/572.10 = 274.62/x
  3. Step 3: Cross multiply
    414.71x = 572.10 × 274.62
  4. Step 4: Simplify right side
    414.71x = 157,110.10
  5. Step 5: Solve for x
    x = 157,110.10/414.71
  6. Step 6: Final answer
    x = 378.85

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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.