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Finding the Fourth Proportional to 326.82, 450.61 and 282.48

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Solution

The fourth proportional to 326.82, 450.61 and 282.48 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.82 : 450.61 = 282.48 : x
  2. Step 2: Convert to fraction form
    326.82/450.61 = 282.48/x
  3. Step 3: Cross multiply
    326.82x = 450.61 × 282.48
  4. Step 4: Simplify right side
    326.82x = 127,288.31
  5. Step 5: Solve for x
    x = 127,288.31/326.82
  6. Step 6: Final answer
    x = 389.48

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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.