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Finding the Fourth Proportional to 318.67, 439.75 and 194.31

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Solution

The fourth proportional to 318.67, 439.75 and 194.31 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.67 : 439.75 = 194.31 : x
  2. Step 2: Convert to fraction form
    318.67/439.75 = 194.31/x
  3. Step 3: Cross multiply
    318.67x = 439.75 × 194.31
  4. Step 4: Simplify right side
    318.67x = 85,447.82
  5. Step 5: Solve for x
    x = 85,447.82/318.67
  6. Step 6: Final answer
    x = 268.14

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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.