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Finding the Fourth Proportional to 198.22, 273.81 and 156.82

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Solution

The fourth proportional to 198.22, 273.81 and 156.82 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 273.81 = 156.82 : x
  2. Step 2: Convert to fraction form
    198.22/273.81 = 156.82/x
  3. Step 3: Cross multiply
    198.22x = 273.81 × 156.82
  4. Step 4: Simplify right side
    198.22x = 42,938.88
  5. Step 5: Solve for x
    x = 42,938.88/198.22
  6. Step 6: Final answer
    x = 216.62

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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.