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Finding the Fourth Proportional to 326.21, 450.41 and 252.41

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Solution

The fourth proportional to 326.21, 450.41 and 252.41 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.21 : 450.41 = 252.41 : x
  2. Step 2: Convert to fraction form
    326.21/450.41 = 252.41/x
  3. Step 3: Cross multiply
    326.21x = 450.41 × 252.41
  4. Step 4: Simplify right side
    326.21x = 113,684.47
  5. Step 5: Solve for x
    x = 113,684.47/326.21
  6. Step 6: Final answer
    x = 348.51

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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.