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Finding the Fourth Proportional to 178.70, 267.44 and 120.79

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Solution

The fourth proportional to 178.70, 267.44 and 120.79 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 267.44 = 120.79 : x
  2. Step 2: Convert to fraction form
    178.70/267.44 = 120.79/x
  3. Step 3: Cross multiply
    178.70x = 267.44 × 120.79
  4. Step 4: Simplify right side
    178.70x = 32,302.74
  5. Step 5: Solve for x
    x = 32,302.74/178.70
  6. Step 6: Final answer
    x = 180.77

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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.