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Finding the Fourth Proportional to 197.82, 273.06 and 120.20

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Solution

The fourth proportional to 197.82, 273.06 and 120.20 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 273.06 = 120.20 : x
  2. Step 2: Convert to fraction form
    197.82/273.06 = 120.20/x
  3. Step 3: Cross multiply
    197.82x = 273.06 × 120.20
  4. Step 4: Simplify right side
    197.82x = 32,820.45
  5. Step 5: Solve for x
    x = 32,820.45/197.82
  6. Step 6: Final answer
    x = 165.91

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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.