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Finding the Fourth Proportional to 197.60, 271.86 and 192.20

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Solution

The fourth proportional to 197.60, 271.86 and 192.20 is: 264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 271.86 = 192.20 : x
  2. Step 2: Convert to fraction form
    197.60/271.86 = 192.20/x
  3. Step 3: Cross multiply
    197.60x = 271.86 × 192.20
  4. Step 4: Simplify right side
    197.60x = 52,251.49
  5. Step 5: Solve for x
    x = 52,251.49/197.60
  6. Step 6: Final answer
    x = 264.43

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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.