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Finding the Fourth Proportional to 296.32, 408.48 and 197.86

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Solution

The fourth proportional to 296.32, 408.48 and 197.86 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 408.48 = 197.86 : x
  2. Step 2: Convert to fraction form
    296.32/408.48 = 197.86/x
  3. Step 3: Cross multiply
    296.32x = 408.48 × 197.86
  4. Step 4: Simplify right side
    296.32x = 80,821.85
  5. Step 5: Solve for x
    x = 80,821.85/296.32
  6. Step 6: Final answer
    x = 272.75

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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.