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Finding the Fourth Proportional to 193.86, 291.15 and 169.56

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Solution

The fourth proportional to 193.86, 291.15 and 169.56 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.86 : 291.15 = 169.56 : x
  2. Step 2: Convert to fraction form
    193.86/291.15 = 169.56/x
  3. Step 3: Cross multiply
    193.86x = 291.15 × 169.56
  4. Step 4: Simplify right side
    193.86x = 49,367.39
  5. Step 5: Solve for x
    x = 49,367.39/193.86
  6. Step 6: Final answer
    x = 254.65

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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.