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Finding the Fourth Proportional to 326.33, 449.21 and 282.05

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Solution

The fourth proportional to 326.33, 449.21 and 282.05 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.33 : 449.21 = 282.05 : x
  2. Step 2: Convert to fraction form
    326.33/449.21 = 282.05/x
  3. Step 3: Cross multiply
    326.33x = 449.21 × 282.05
  4. Step 4: Simplify right side
    326.33x = 126,698.27
  5. Step 5: Solve for x
    x = 126,698.27/326.33
  6. Step 6: Final answer
    x = 388.25

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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.