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Finding the Fourth Proportional to 186.06, 255.39 and 169.59

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Solution

The fourth proportional to 186.06, 255.39 and 169.59 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 255.39 = 169.59 : x
  2. Step 2: Convert to fraction form
    186.06/255.39 = 169.59/x
  3. Step 3: Cross multiply
    186.06x = 255.39 × 169.59
  4. Step 4: Simplify right side
    186.06x = 43,311.59
  5. Step 5: Solve for x
    x = 43,311.59/186.06
  6. Step 6: Final answer
    x = 232.78

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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.