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Finding the Fourth Proportional to 296.12, 408.86 and 198.04

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Solution

The fourth proportional to 296.12, 408.86 and 198.04 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.12 : 408.86 = 198.04 : x
  2. Step 2: Convert to fraction form
    296.12/408.86 = 198.04/x
  3. Step 3: Cross multiply
    296.12x = 408.86 × 198.04
  4. Step 4: Simplify right side
    296.12x = 80,970.63
  5. Step 5: Solve for x
    x = 80,970.63/296.12
  6. Step 6: Final answer
    x = 273.44

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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.