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Finding the Fourth Proportional to 197.98, 273.24 and 115.09

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Solution

The fourth proportional to 197.98, 273.24 and 115.09 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 273.24 = 115.09 : x
  2. Step 2: Convert to fraction form
    197.98/273.24 = 115.09/x
  3. Step 3: Cross multiply
    197.98x = 273.24 × 115.09
  4. Step 4: Simplify right side
    197.98x = 31,446.51
  5. Step 5: Solve for x
    x = 31,446.51/197.98
  6. Step 6: Final answer
    x = 158.84

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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.