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Finding the Fourth Proportional to 439.89, 659.65 and 196.25

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Solution

The fourth proportional to 439.89, 659.65 and 196.25 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.89 : 659.65 = 196.25 : x
  2. Step 2: Convert to fraction form
    439.89/659.65 = 196.25/x
  3. Step 3: Cross multiply
    439.89x = 659.65 × 196.25
  4. Step 4: Simplify right side
    439.89x = 129,452.52
  5. Step 5: Solve for x
    x = 129,452.52/439.89
  6. Step 6: Final answer
    x = 294.29

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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.