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Finding the Fourth Proportional to 296.25, 408.67 and 198.03

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Solution

The fourth proportional to 296.25, 408.67 and 198.03 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.25 : 408.67 = 198.03 : x
  2. Step 2: Convert to fraction form
    296.25/408.67 = 198.03/x
  3. Step 3: Cross multiply
    296.25x = 408.67 × 198.03
  4. Step 4: Simplify right side
    296.25x = 80,928.92
  5. Step 5: Solve for x
    x = 80,928.92/296.25
  6. Step 6: Final answer
    x = 273.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.