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Finding the Fourth Proportional to 379.14, 523.20 and 231.78

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Solution

The fourth proportional to 379.14, 523.20 and 231.78 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.14 : 523.20 = 231.78 : x
  2. Step 2: Convert to fraction form
    379.14/523.20 = 231.78/x
  3. Step 3: Cross multiply
    379.14x = 523.20 × 231.78
  4. Step 4: Simplify right side
    379.14x = 121,267.30
  5. Step 5: Solve for x
    x = 121,267.30/379.14
  6. Step 6: Final answer
    x = 319.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.