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Finding the Fourth Proportional to 327.82, 488.09 and 326.20

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Solution

The fourth proportional to 327.82, 488.09 and 326.20 is: 485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 488.09 = 326.20 : x
  2. Step 2: Convert to fraction form
    327.82/488.09 = 326.20/x
  3. Step 3: Cross multiply
    327.82x = 488.09 × 326.20
  4. Step 4: Simplify right side
    327.82x = 159,214.96
  5. Step 5: Solve for x
    x = 159,214.96/327.82
  6. Step 6: Final answer
    x = 485.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.