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Finding the Fourth Proportional to 179.20, 267.34 and 158.95

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Solution

The fourth proportional to 179.20, 267.34 and 158.95 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 267.34 = 158.95 : x
  2. Step 2: Convert to fraction form
    179.20/267.34 = 158.95/x
  3. Step 3: Cross multiply
    179.20x = 267.34 × 158.95
  4. Step 4: Simplify right side
    179.20x = 42,493.69
  5. Step 5: Solve for x
    x = 42,493.69/179.20
  6. Step 6: Final answer
    x = 237.13

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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.