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Finding the Fourth Proportional to 326.09, 450.35 and 227.67

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Solution

The fourth proportional to 326.09, 450.35 and 227.67 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.09 : 450.35 = 227.67 : x
  2. Step 2: Convert to fraction form
    326.09/450.35 = 227.67/x
  3. Step 3: Cross multiply
    326.09x = 450.35 × 227.67
  4. Step 4: Simplify right side
    326.09x = 102,530.05
  5. Step 5: Solve for x
    x = 102,530.05/326.09
  6. Step 6: Final answer
    x = 314.43

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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.