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Finding the Fourth Proportional to 274.76, 410.17 and 254.76

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Solution

The fourth proportional to 274.76, 410.17 and 254.76 is: 380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.76 : 410.17 = 254.76 : x
  2. Step 2: Convert to fraction form
    274.76/410.17 = 254.76/x
  3. Step 3: Cross multiply
    274.76x = 410.17 × 254.76
  4. Step 4: Simplify right side
    274.76x = 104,494.91
  5. Step 5: Solve for x
    x = 104,494.91/274.76
  6. Step 6: Final answer
    x = 380.31

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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.