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Finding the Fourth Proportional to 318.35, 439.31 and 193.96

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Solution

The fourth proportional to 318.35, 439.31 and 193.96 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.35 : 439.31 = 193.96 : x
  2. Step 2: Convert to fraction form
    318.35/439.31 = 193.96/x
  3. Step 3: Cross multiply
    318.35x = 439.31 × 193.96
  4. Step 4: Simplify right side
    318.35x = 85,207.60
  5. Step 5: Solve for x
    x = 85,207.60/318.35
  6. Step 6: Final answer
    x = 267.66

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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.