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Finding the Fourth Proportional to 198.90, 296.27 and 196.74

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Solution

The fourth proportional to 198.90, 296.27 and 196.74 is: 293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 296.27 = 196.74 : x
  2. Step 2: Convert to fraction form
    198.90/296.27 = 196.74/x
  3. Step 3: Cross multiply
    198.90x = 296.27 × 196.74
  4. Step 4: Simplify right side
    198.90x = 58,287.18
  5. Step 5: Solve for x
    x = 58,287.18/198.90
  6. Step 6: Final answer
    x = 293.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.