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Finding the Fourth Proportional to 179.20, 267.11 and 159.57

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Solution

The fourth proportional to 179.20, 267.11 and 159.57 is: 237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 267.11 = 159.57 : x
  2. Step 2: Convert to fraction form
    179.20/267.11 = 159.57/x
  3. Step 3: Cross multiply
    179.20x = 267.11 × 159.57
  4. Step 4: Simplify right side
    179.20x = 42,622.74
  5. Step 5: Solve for x
    x = 42,622.74/179.20
  6. Step 6: Final answer
    x = 237.85

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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.