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Finding the Fourth Proportional to 296.02, 408.20 and 196.46

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Solution

The fourth proportional to 296.02, 408.20 and 196.46 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 408.20 = 196.46 : x
  2. Step 2: Convert to fraction form
    296.02/408.20 = 196.46/x
  3. Step 3: Cross multiply
    296.02x = 408.20 × 196.46
  4. Step 4: Simplify right side
    296.02x = 80,194.97
  5. Step 5: Solve for x
    x = 80,194.97/296.02
  6. Step 6: Final answer
    x = 270.91

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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.