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Finding the Fourth Proportional to 197.82, 273.11 and 128.03

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Solution

The fourth proportional to 197.82, 273.11 and 128.03 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 273.11 = 128.03 : x
  2. Step 2: Convert to fraction form
    197.82/273.11 = 128.03/x
  3. Step 3: Cross multiply
    197.82x = 273.11 × 128.03
  4. Step 4: Simplify right side
    197.82x = 34,964.27
  5. Step 5: Solve for x
    x = 34,964.27/197.82
  6. Step 6: Final answer
    x = 176.75

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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.