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Finding the Fourth Proportional to 295.88, 408.17 and 197.78

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Solution

The fourth proportional to 295.88, 408.17 and 197.78 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 408.17 = 197.78 : x
  2. Step 2: Convert to fraction form
    295.88/408.17 = 197.78/x
  3. Step 3: Cross multiply
    295.88x = 408.17 × 197.78
  4. Step 4: Simplify right side
    295.88x = 80,726.87
  5. Step 5: Solve for x
    x = 80,726.87/295.88
  6. Step 6: Final answer
    x = 272.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.