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Finding the Fourth Proportional to 274.92, 411.78 and 166.84

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Solution

The fourth proportional to 274.92, 411.78 and 166.84 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 411.78 = 166.84 : x
  2. Step 2: Convert to fraction form
    274.92/411.78 = 166.84/x
  3. Step 3: Cross multiply
    274.92x = 411.78 × 166.84
  4. Step 4: Simplify right side
    274.92x = 68,701.38
  5. Step 5: Solve for x
    x = 68,701.38/274.92
  6. Step 6: Final answer
    x = 249.90

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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.