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Finding the Fourth Proportional to 198.24, 296.76 and 144.12

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Solution

The fourth proportional to 198.24, 296.76 and 144.12 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 296.76 = 144.12 : x
  2. Step 2: Convert to fraction form
    198.24/296.76 = 144.12/x
  3. Step 3: Cross multiply
    198.24x = 296.76 × 144.12
  4. Step 4: Simplify right side
    198.24x = 42,769.05
  5. Step 5: Solve for x
    x = 42,769.05/198.24
  6. Step 6: Final answer
    x = 215.74

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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.