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Finding the Fourth Proportional to 318.47, 439.40 and 194.09

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Solution

The fourth proportional to 318.47, 439.40 and 194.09 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 439.40 = 194.09 : x
  2. Step 2: Convert to fraction form
    318.47/439.40 = 194.09/x
  3. Step 3: Cross multiply
    318.47x = 439.40 × 194.09
  4. Step 4: Simplify right side
    318.47x = 85,281.43
  5. Step 5: Solve for x
    x = 85,281.43/318.47
  6. Step 6: Final answer
    x = 267.79

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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.