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Finding the Fourth Proportional to 197.90, 273.09 and 110.57

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Solution

The fourth proportional to 197.90, 273.09 and 110.57 is: 152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 273.09 = 110.57 : x
  2. Step 2: Convert to fraction form
    197.90/273.09 = 110.57/x
  3. Step 3: Cross multiply
    197.90x = 273.09 × 110.57
  4. Step 4: Simplify right side
    197.90x = 30,195.56
  5. Step 5: Solve for x
    x = 30,195.56/197.90
  6. Step 6: Final answer
    x = 152.58

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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.