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Finding the Fourth Proportional to 193.70, 268.17 and 169.70

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Solution

The fourth proportional to 193.70, 268.17 and 169.70 is: 234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 268.17 = 169.70 : x
  2. Step 2: Convert to fraction form
    193.70/268.17 = 169.70/x
  3. Step 3: Cross multiply
    193.70x = 268.17 × 169.70
  4. Step 4: Simplify right side
    193.70x = 45,508.45
  5. Step 5: Solve for x
    x = 45,508.45/193.70
  6. Step 6: Final answer
    x = 234.94

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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.