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Finding the Fourth Proportional to 326.17, 450.29 and 221.82

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Solution

The fourth proportional to 326.17, 450.29 and 221.82 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.17 : 450.29 = 221.82 : x
  2. Step 2: Convert to fraction form
    326.17/450.29 = 221.82/x
  3. Step 3: Cross multiply
    326.17x = 450.29 × 221.82
  4. Step 4: Simplify right side
    326.17x = 99,883.33
  5. Step 5: Solve for x
    x = 99,883.33/326.17
  6. Step 6: Final answer
    x = 306.23

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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.