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Finding the Fourth Proportional to 274.29, 409.15 and 256.97

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Solution

The fourth proportional to 274.29, 409.15 and 256.97 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.29 : 409.15 = 256.97 : x
  2. Step 2: Convert to fraction form
    274.29/409.15 = 256.97/x
  3. Step 3: Cross multiply
    274.29x = 409.15 × 256.97
  4. Step 4: Simplify right side
    274.29x = 105,140.62
  5. Step 5: Solve for x
    x = 105,140.62/274.29
  6. Step 6: Final answer
    x = 383.32

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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.