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Finding the Fourth Proportional to 296.20, 408.49 and 198.01

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Solution

The fourth proportional to 296.20, 408.49 and 198.01 is: 273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.20 : 408.49 = 198.01 : x
  2. Step 2: Convert to fraction form
    296.20/408.49 = 198.01/x
  3. Step 3: Cross multiply
    296.20x = 408.49 × 198.01
  4. Step 4: Simplify right side
    296.20x = 80,885.10
  5. Step 5: Solve for x
    x = 80,885.10/296.20
  6. Step 6: Final answer
    x = 273.08

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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.