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Finding the Fourth Proportional to 326.96, 451.14 and 280.25

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Solution

The fourth proportional to 326.96, 451.14 and 280.25 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 451.14 = 280.25 : x
  2. Step 2: Convert to fraction form
    326.96/451.14 = 280.25/x
  3. Step 3: Cross multiply
    326.96x = 451.14 × 280.25
  4. Step 4: Simplify right side
    326.96x = 126,431.99
  5. Step 5: Solve for x
    x = 126,431.99/326.96
  6. Step 6: Final answer
    x = 386.69

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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.