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Finding the Fourth Proportional to 379.62, 569.09 and 196.64

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Solution

The fourth proportional to 379.62, 569.09 and 196.64 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.62 : 569.09 = 196.64 : x
  2. Step 2: Convert to fraction form
    379.62/569.09 = 196.64/x
  3. Step 3: Cross multiply
    379.62x = 569.09 × 196.64
  4. Step 4: Simplify right side
    379.62x = 111,906.30
  5. Step 5: Solve for x
    x = 111,906.30/379.62
  6. Step 6: Final answer
    x = 294.78

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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.