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Finding the Fourth Proportional to 197.78, 296.26 and 161.33

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Solution

The fourth proportional to 197.78, 296.26 and 161.33 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.26 = 161.33 : x
  2. Step 2: Convert to fraction form
    197.78/296.26 = 161.33/x
  3. Step 3: Cross multiply
    197.78x = 296.26 × 161.33
  4. Step 4: Simplify right side
    197.78x = 47,793.74
  5. Step 5: Solve for x
    x = 47,793.74/197.78
  6. Step 6: Final answer
    x = 241.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.