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Finding the Fourth Proportional to 197.83, 271.22 and 194.17

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Solution

The fourth proportional to 197.83, 271.22 and 194.17 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.83 : 271.22 = 194.17 : x
  2. Step 2: Convert to fraction form
    197.83/271.22 = 194.17/x
  3. Step 3: Cross multiply
    197.83x = 271.22 × 194.17
  4. Step 4: Simplify right side
    197.83x = 52,662.79
  5. Step 5: Solve for x
    x = 52,662.79/197.83
  6. Step 6: Final answer
    x = 266.20

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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.