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Finding the Fourth Proportional to 274.43, 409.25 and 251.34

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Solution

The fourth proportional to 274.43, 409.25 and 251.34 is: 374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.43 : 409.25 = 251.34 : x
  2. Step 2: Convert to fraction form
    274.43/409.25 = 251.34/x
  3. Step 3: Cross multiply
    274.43x = 409.25 × 251.34
  4. Step 4: Simplify right side
    274.43x = 102,859.64
  5. Step 5: Solve for x
    x = 102,859.64/274.43
  6. Step 6: Final answer
    x = 374.82

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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.