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Finding the Fourth Proportional to 197.97, 273.21 and 120.35

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Solution

The fourth proportional to 197.97, 273.21 and 120.35 is: 166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.97 : 273.21 = 120.35 : x
  2. Step 2: Convert to fraction form
    197.97/273.21 = 120.35/x
  3. Step 3: Cross multiply
    197.97x = 273.21 × 120.35
  4. Step 4: Simplify right side
    197.97x = 32,879.46
  5. Step 5: Solve for x
    x = 32,879.46/197.97
  6. Step 6: Final answer
    x = 166.08

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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.