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Finding the Fourth Proportional to 274.52, 411.12 and 166.04

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Solution

The fourth proportional to 274.52, 411.12 and 166.04 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 411.12 = 166.04 : x
  2. Step 2: Convert to fraction form
    274.52/411.12 = 166.04/x
  3. Step 3: Cross multiply
    274.52x = 411.12 × 166.04
  4. Step 4: Simplify right side
    274.52x = 68,262.36
  5. Step 5: Solve for x
    x = 68,262.36/274.52
  6. Step 6: Final answer
    x = 248.66

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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.