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Finding the Fourth Proportional to 198.09, 298.60 and 189.85

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Solution

The fourth proportional to 198.09, 298.60 and 189.85 is: 286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 298.60 = 189.85 : x
  2. Step 2: Convert to fraction form
    198.09/298.60 = 189.85/x
  3. Step 3: Cross multiply
    198.09x = 298.60 × 189.85
  4. Step 4: Simplify right side
    198.09x = 56,689.21
  5. Step 5: Solve for x
    x = 56,689.21/198.09
  6. Step 6: Final answer
    x = 286.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.