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Finding the Fourth Proportional to 252.66, 380.87 and 227.55

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Solution

The fourth proportional to 252.66, 380.87 and 227.55 is: 343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.66 : 380.87 = 227.55 : x
  2. Step 2: Convert to fraction form
    252.66/380.87 = 227.55/x
  3. Step 3: Cross multiply
    252.66x = 380.87 × 227.55
  4. Step 4: Simplify right side
    252.66x = 86,665.83
  5. Step 5: Solve for x
    x = 86,665.83/252.66
  6. Step 6: Final answer
    x = 343.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.