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Finding the Fourth Proportional to 193.39, 266.19 and 161.97

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Solution

The fourth proportional to 193.39, 266.19 and 161.97 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.39 : 266.19 = 161.97 : x
  2. Step 2: Convert to fraction form
    193.39/266.19 = 161.97/x
  3. Step 3: Cross multiply
    193.39x = 266.19 × 161.97
  4. Step 4: Simplify right side
    193.39x = 43,114.79
  5. Step 5: Solve for x
    x = 43,114.79/193.39
  6. Step 6: Final answer
    x = 222.94

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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.