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Finding the Fourth Proportional to 198.01, 296.98 and 120.45

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Solution

The fourth proportional to 198.01, 296.98 and 120.45 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 296.98 = 120.45 : x
  2. Step 2: Convert to fraction form
    198.01/296.98 = 120.45/x
  3. Step 3: Cross multiply
    198.01x = 296.98 × 120.45
  4. Step 4: Simplify right side
    198.01x = 35,771.24
  5. Step 5: Solve for x
    x = 35,771.24/198.01
  6. Step 6: Final answer
    x = 180.65

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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.