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Finding the Fourth Proportional to 311.38, 467.20 and 119.14

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Solution

The fourth proportional to 311.38, 467.20 and 119.14 is: 178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.38 : 467.20 = 119.14 : x
  2. Step 2: Convert to fraction form
    311.38/467.20 = 119.14/x
  3. Step 3: Cross multiply
    311.38x = 467.20 × 119.14
  4. Step 4: Simplify right side
    311.38x = 55,662.21
  5. Step 5: Solve for x
    x = 55,662.21/311.38
  6. Step 6: Final answer
    x = 178.76

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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.