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Finding the Fourth Proportional to 318.62, 439.64 and 194.26

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Solution

The fourth proportional to 318.62, 439.64 and 194.26 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.62 : 439.64 = 194.26 : x
  2. Step 2: Convert to fraction form
    318.62/439.64 = 194.26/x
  3. Step 3: Cross multiply
    318.62x = 439.64 × 194.26
  4. Step 4: Simplify right side
    318.62x = 85,404.47
  5. Step 5: Solve for x
    x = 85,404.47/318.62
  6. Step 6: Final answer
    x = 268.04

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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.