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Finding the Fourth Proportional to 198.03, 273.20 and 154.56

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Solution

The fourth proportional to 198.03, 273.20 and 154.56 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 273.20 = 154.56 : x
  2. Step 2: Convert to fraction form
    198.03/273.20 = 154.56/x
  3. Step 3: Cross multiply
    198.03x = 273.20 × 154.56
  4. Step 4: Simplify right side
    198.03x = 42,225.02
  5. Step 5: Solve for x
    x = 42,225.02/198.03
  6. Step 6: Final answer
    x = 213.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.