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Finding the Fourth Proportional to 197.90, 273.09 and 109.38

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Solution

The fourth proportional to 197.90, 273.09 and 109.38 is: 150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 273.09 = 109.38 : x
  2. Step 2: Convert to fraction form
    197.90/273.09 = 109.38/x
  3. Step 3: Cross multiply
    197.90x = 273.09 × 109.38
  4. Step 4: Simplify right side
    197.90x = 29,870.58
  5. Step 5: Solve for x
    x = 29,870.58/197.90
  6. Step 6: Final answer
    x = 150.94

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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.