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Finding the Fourth Proportional to 197.56, 273.73 and 193.24

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Solution

The fourth proportional to 197.56, 273.73 and 193.24 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.56 : 273.73 = 193.24 : x
  2. Step 2: Convert to fraction form
    197.56/273.73 = 193.24/x
  3. Step 3: Cross multiply
    197.56x = 273.73 × 193.24
  4. Step 4: Simplify right side
    197.56x = 52,895.59
  5. Step 5: Solve for x
    x = 52,895.59/197.56
  6. Step 6: Final answer
    x = 267.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.