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Finding the Fourth Proportional to 326.52, 447.72 and 322.20

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Solution

The fourth proportional to 326.52, 447.72 and 322.20 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.52 : 447.72 = 322.20 : x
  2. Step 2: Convert to fraction form
    326.52/447.72 = 322.20/x
  3. Step 3: Cross multiply
    326.52x = 447.72 × 322.20
  4. Step 4: Simplify right side
    326.52x = 144,255.38
  5. Step 5: Solve for x
    x = 144,255.38/326.52
  6. Step 6: Final answer
    x = 441.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.