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Finding the Fourth Proportional to 326.72, 451.38 and 269.24

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Solution

The fourth proportional to 326.72, 451.38 and 269.24 is: 371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.72 : 451.38 = 269.24 : x
  2. Step 2: Convert to fraction form
    326.72/451.38 = 269.24/x
  3. Step 3: Cross multiply
    326.72x = 451.38 × 269.24
  4. Step 4: Simplify right side
    326.72x = 121,529.55
  5. Step 5: Solve for x
    x = 121,529.55/326.72
  6. Step 6: Final answer
    x = 371.97

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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.