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Finding the Fourth Proportional to 198.26, 296.74 and 191.12

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Solution

The fourth proportional to 198.26, 296.74 and 191.12 is: 286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 296.74 = 191.12 : x
  2. Step 2: Convert to fraction form
    198.26/296.74 = 191.12/x
  3. Step 3: Cross multiply
    198.26x = 296.74 × 191.12
  4. Step 4: Simplify right side
    198.26x = 56,711.99
  5. Step 5: Solve for x
    x = 56,711.99/198.26
  6. Step 6: Final answer
    x = 286.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.