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Finding the Fourth Proportional to 252.67, 380.27 and 227.51

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Solution

The fourth proportional to 252.67, 380.27 and 227.51 is: 342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.67 : 380.27 = 227.51 : x
  2. Step 2: Convert to fraction form
    252.67/380.27 = 227.51/x
  3. Step 3: Cross multiply
    252.67x = 380.27 × 227.51
  4. Step 4: Simplify right side
    252.67x = 86,514.68
  5. Step 5: Solve for x
    x = 86,514.68/252.67
  6. Step 6: Final answer
    x = 342.40

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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.