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Finding the Fourth Proportional to 274.92, 410.42 and 256.97

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Solution

The fourth proportional to 274.92, 410.42 and 256.97 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 410.42 = 256.97 : x
  2. Step 2: Convert to fraction form
    274.92/410.42 = 256.97/x
  3. Step 3: Cross multiply
    274.92x = 410.42 × 256.97
  4. Step 4: Simplify right side
    274.92x = 105,462.29
  5. Step 5: Solve for x
    x = 105,462.29/274.92
  6. Step 6: Final answer
    x = 383.61

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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.