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Finding the Fourth Proportional to 185.56, 255.10 and 165.68

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Solution

The fourth proportional to 185.56, 255.10 and 165.68 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.56 : 255.10 = 165.68 : x
  2. Step 2: Convert to fraction form
    185.56/255.10 = 165.68/x
  3. Step 3: Cross multiply
    185.56x = 255.10 × 165.68
  4. Step 4: Simplify right side
    185.56x = 42,264.97
  5. Step 5: Solve for x
    x = 42,264.97/185.56
  6. Step 6: Final answer
    x = 227.77

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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.