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Finding the Fourth Proportional to 197.90, 273.08 and 141.14

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Solution

The fourth proportional to 197.90, 273.08 and 141.14 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 273.08 = 141.14 : x
  2. Step 2: Convert to fraction form
    197.90/273.08 = 141.14/x
  3. Step 3: Cross multiply
    197.90x = 273.08 × 141.14
  4. Step 4: Simplify right side
    197.90x = 38,540.44
  5. Step 5: Solve for x
    x = 38,540.44/197.90
  6. Step 6: Final answer
    x = 194.75

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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.