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Finding the Fourth Proportional to 379.78, 568.91 and 197.53

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Solution

The fourth proportional to 379.78, 568.91 and 197.53 is: 295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.78 : 568.91 = 197.53 : x
  2. Step 2: Convert to fraction form
    379.78/568.91 = 197.53/x
  3. Step 3: Cross multiply
    379.78x = 568.91 × 197.53
  4. Step 4: Simplify right side
    379.78x = 112,375.86
  5. Step 5: Solve for x
    x = 112,375.86/379.78
  6. Step 6: Final answer
    x = 295.90

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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.