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Finding the Fourth Proportional to 296.20, 408.78 and 179.83

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Solution

The fourth proportional to 296.20, 408.78 and 179.83 is: 248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.20 : 408.78 = 179.83 : x
  2. Step 2: Convert to fraction form
    296.20/408.78 = 179.83/x
  3. Step 3: Cross multiply
    296.20x = 408.78 × 179.83
  4. Step 4: Simplify right side
    296.20x = 73,508.86
  5. Step 5: Solve for x
    x = 73,508.86/296.20
  6. Step 6: Final answer
    x = 248.18

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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.