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Finding the Fourth Proportional to 197.72, 271.81 and 168.44

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Solution

The fourth proportional to 197.72, 271.81 and 168.44 is: 231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 271.81 = 168.44 : x
  2. Step 2: Convert to fraction form
    197.72/271.81 = 168.44/x
  3. Step 3: Cross multiply
    197.72x = 271.81 × 168.44
  4. Step 4: Simplify right side
    197.72x = 45,783.68
  5. Step 5: Solve for x
    x = 45,783.68/197.72
  6. Step 6: Final answer
    x = 231.56

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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.