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Finding the Fourth Proportional to 275.92, 411.91 and 257.97

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Solution

The fourth proportional to 275.92, 411.91 and 257.97 is: 385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 411.91 = 257.97 : x
  2. Step 2: Convert to fraction form
    275.92/411.91 = 257.97/x
  3. Step 3: Cross multiply
    275.92x = 411.91 × 257.97
  4. Step 4: Simplify right side
    275.92x = 106,260.42
  5. Step 5: Solve for x
    x = 106,260.42/275.92
  6. Step 6: Final answer
    x = 385.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.