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Finding the Fourth Proportional to 274.68, 410.05 and 256.48

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Solution

The fourth proportional to 274.68, 410.05 and 256.48 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.68 : 410.05 = 256.48 : x
  2. Step 2: Convert to fraction form
    274.68/410.05 = 256.48/x
  3. Step 3: Cross multiply
    274.68x = 410.05 × 256.48
  4. Step 4: Simplify right side
    274.68x = 105,169.62
  5. Step 5: Solve for x
    x = 105,169.62/274.68
  6. Step 6: Final answer
    x = 382.88

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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.