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Finding the Fourth Proportional to 274.38, 411.49 and 171.55

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Solution

The fourth proportional to 274.38, 411.49 and 171.55 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 411.49 = 171.55 : x
  2. Step 2: Convert to fraction form
    274.38/411.49 = 171.55/x
  3. Step 3: Cross multiply
    274.38x = 411.49 × 171.55
  4. Step 4: Simplify right side
    274.38x = 70,591.11
  5. Step 5: Solve for x
    x = 70,591.11/274.38
  6. Step 6: Final answer
    x = 257.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.