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Finding the Fourth Proportional to 198.95, 296.85 and 197.81

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Solution

The fourth proportional to 198.95, 296.85 and 197.81 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 296.85 = 197.81 : x
  2. Step 2: Convert to fraction form
    198.95/296.85 = 197.81/x
  3. Step 3: Cross multiply
    198.95x = 296.85 × 197.81
  4. Step 4: Simplify right side
    198.95x = 58,720.27
  5. Step 5: Solve for x
    x = 58,720.27/198.95
  6. Step 6: Final answer
    x = 295.16

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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.