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Finding the Fourth Proportional to 197.94, 271.38 and 194.49

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Solution

The fourth proportional to 197.94, 271.38 and 194.49 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 271.38 = 194.49 : x
  2. Step 2: Convert to fraction form
    197.94/271.38 = 194.49/x
  3. Step 3: Cross multiply
    197.94x = 271.38 × 194.49
  4. Step 4: Simplify right side
    197.94x = 52,780.70
  5. Step 5: Solve for x
    x = 52,780.70/197.94
  6. Step 6: Final answer
    x = 266.65

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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.