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Finding the Fourth Proportional to 179.76, 267.72 and 178.73

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Solution

The fourth proportional to 179.76, 267.72 and 178.73 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 267.72 = 178.73 : x
  2. Step 2: Convert to fraction form
    179.76/267.72 = 178.73/x
  3. Step 3: Cross multiply
    179.76x = 267.72 × 178.73
  4. Step 4: Simplify right side
    179.76x = 47,848.26
  5. Step 5: Solve for x
    x = 47,848.26/179.76
  6. Step 6: Final answer
    x = 266.18

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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.