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Finding the Fourth Proportional to 197.35, 271.78 and 193.11

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Solution

The fourth proportional to 197.35, 271.78 and 193.11 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.35 : 271.78 = 193.11 : x
  2. Step 2: Convert to fraction form
    197.35/271.78 = 193.11/x
  3. Step 3: Cross multiply
    197.35x = 271.78 × 193.11
  4. Step 4: Simplify right side
    197.35x = 52,483.44
  5. Step 5: Solve for x
    x = 52,483.44/197.35
  6. Step 6: Final answer
    x = 265.94

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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.