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Finding the Fourth Proportional to 439.89, 659.85 and 196.43

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Solution

The fourth proportional to 439.89, 659.85 and 196.43 is: 294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.89 : 659.85 = 196.43 : x
  2. Step 2: Convert to fraction form
    439.89/659.85 = 196.43/x
  3. Step 3: Cross multiply
    439.89x = 659.85 × 196.43
  4. Step 4: Simplify right side
    439.89x = 129,614.34
  5. Step 5: Solve for x
    x = 129,614.34/439.89
  6. Step 6: Final answer
    x = 294.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.