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Finding the Fourth Proportional to 318.52, 439.50 and 194.14

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Solution

The fourth proportional to 318.52, 439.50 and 194.14 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.52 : 439.50 = 194.14 : x
  2. Step 2: Convert to fraction form
    318.52/439.50 = 194.14/x
  3. Step 3: Cross multiply
    318.52x = 439.50 × 194.14
  4. Step 4: Simplify right side
    318.52x = 85,324.53
  5. Step 5: Solve for x
    x = 85,324.53/318.52
  6. Step 6: Final answer
    x = 267.88

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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.