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Finding the Fourth Proportional to 197.49, 270.39 and 196.80

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Solution

The fourth proportional to 197.49, 270.39 and 196.80 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.49 : 270.39 = 196.80 : x
  2. Step 2: Convert to fraction form
    197.49/270.39 = 196.80/x
  3. Step 3: Cross multiply
    197.49x = 270.39 × 196.80
  4. Step 4: Simplify right side
    197.49x = 53,212.75
  5. Step 5: Solve for x
    x = 53,212.75/197.49
  6. Step 6: Final answer
    x = 269.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.