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Finding the Fourth Proportional to 198, 296.59 and 120.73

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Solution

The fourth proportional to 198, 296.59 and 120.73 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 296.59 = 120.73 : x
  2. Step 2: Convert to fraction form
    198/296.59 = 120.73/x
  3. Step 3: Cross multiply
    198x = 296.59 × 120.73
  4. Step 4: Simplify right side
    198x = 35,807.31
  5. Step 5: Solve for x
    x = 35,807.31/198
  6. Step 6: Final answer
    x = 180.85

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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.