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Finding the Fourth Proportional to 321.14, 443.03 and 227.94

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Solution

The fourth proportional to 321.14, 443.03 and 227.94 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 443.03 = 227.94 : x
  2. Step 2: Convert to fraction form
    321.14/443.03 = 227.94/x
  3. Step 3: Cross multiply
    321.14x = 443.03 × 227.94
  4. Step 4: Simplify right side
    321.14x = 100,984.31
  5. Step 5: Solve for x
    x = 100,984.31/321.14
  6. Step 6: Final answer
    x = 314.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.