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Finding the Fourth Proportional to 198.18, 296.87 and 120.96

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Solution

The fourth proportional to 198.18, 296.87 and 120.96 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 296.87 = 120.96 : x
  2. Step 2: Convert to fraction form
    198.18/296.87 = 120.96/x
  3. Step 3: Cross multiply
    198.18x = 296.87 × 120.96
  4. Step 4: Simplify right side
    198.18x = 35,908.79
  5. Step 5: Solve for x
    x = 35,908.79/198.18
  6. Step 6: Final answer
    x = 181.19

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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.