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Finding the Fourth Proportional to 185.50, 276.74 and 169.96

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Solution

The fourth proportional to 185.50, 276.74 and 169.96 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.50 : 276.74 = 169.96 : x
  2. Step 2: Convert to fraction form
    185.50/276.74 = 169.96/x
  3. Step 3: Cross multiply
    185.50x = 276.74 × 169.96
  4. Step 4: Simplify right side
    185.50x = 47,034.73
  5. Step 5: Solve for x
    x = 47,034.73/185.50
  6. Step 6: Final answer
    x = 253.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.