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Finding the Fourth Proportional to 327.44, 487.67 and 322.35

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Solution

The fourth proportional to 327.44, 487.67 and 322.35 is: 480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 487.67 = 322.35 : x
  2. Step 2: Convert to fraction form
    327.44/487.67 = 322.35/x
  3. Step 3: Cross multiply
    327.44x = 487.67 × 322.35
  4. Step 4: Simplify right side
    327.44x = 157,202.91
  5. Step 5: Solve for x
    x = 157,202.91/327.44
  6. Step 6: Final answer
    x = 480.09

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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.