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Finding the Fourth Proportional to 197.88, 273.10 and 120.30

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Solution

The fourth proportional to 197.88, 273.10 and 120.30 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 273.10 = 120.30 : x
  2. Step 2: Convert to fraction form
    197.88/273.10 = 120.30/x
  3. Step 3: Cross multiply
    197.88x = 273.10 × 120.30
  4. Step 4: Simplify right side
    197.88x = 32,853.93
  5. Step 5: Solve for x
    x = 32,853.93/197.88
  6. Step 6: Final answer
    x = 166.03

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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.