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Finding the Fourth Proportional to 198.23, 272.32 and 161.28

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Solution

The fourth proportional to 198.23, 272.32 and 161.28 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 272.32 = 161.28 : x
  2. Step 2: Convert to fraction form
    198.23/272.32 = 161.28/x
  3. Step 3: Cross multiply
    198.23x = 272.32 × 161.28
  4. Step 4: Simplify right side
    198.23x = 43,919.37
  5. Step 5: Solve for x
    x = 43,919.37/198.23
  6. Step 6: Final answer
    x = 221.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.