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Finding the Fourth Proportional to 327.04, 493.24 and 321.28

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Solution

The fourth proportional to 327.04, 493.24 and 321.28 is: 484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 493.24 = 321.28 : x
  2. Step 2: Convert to fraction form
    327.04/493.24 = 321.28/x
  3. Step 3: Cross multiply
    327.04x = 493.24 × 321.28
  4. Step 4: Simplify right side
    327.04x = 158,468.15
  5. Step 5: Solve for x
    x = 158,468.15/327.04
  6. Step 6: Final answer
    x = 484.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.