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Finding the Fourth Proportional to 379.42, 568.78 and 196.40

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Solution

The fourth proportional to 379.42, 568.78 and 196.40 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.42 : 568.78 = 196.40 : x
  2. Step 2: Convert to fraction form
    379.42/568.78 = 196.40/x
  3. Step 3: Cross multiply
    379.42x = 568.78 × 196.40
  4. Step 4: Simplify right side
    379.42x = 111,708.39
  5. Step 5: Solve for x
    x = 111,708.39/379.42
  6. Step 6: Final answer
    x = 294.42

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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.