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Finding the Fourth Proportional to 326.38, 450.31 and 256.21

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Solution

The fourth proportional to 326.38, 450.31 and 256.21 is: 353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.38 : 450.31 = 256.21 : x
  2. Step 2: Convert to fraction form
    326.38/450.31 = 256.21/x
  3. Step 3: Cross multiply
    326.38x = 450.31 × 256.21
  4. Step 4: Simplify right side
    326.38x = 115,375.17
  5. Step 5: Solve for x
    x = 115,375.17/326.38
  6. Step 6: Final answer
    x = 353.50

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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.