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Finding the Fourth Proportional to 327.47, 487.94 and 324.34

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Solution

The fourth proportional to 327.47, 487.94 and 324.34 is: 483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.47 : 487.94 = 324.34 : x
  2. Step 2: Convert to fraction form
    327.47/487.94 = 324.34/x
  3. Step 3: Cross multiply
    327.47x = 487.94 × 324.34
  4. Step 4: Simplify right side
    327.47x = 158,255.62
  5. Step 5: Solve for x
    x = 158,255.62/327.47
  6. Step 6: Final answer
    x = 483.27

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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.