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Finding the Fourth Proportional to 327.55, 451.84 and 203.21

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Solution

The fourth proportional to 327.55, 451.84 and 203.21 is: 280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.55 : 451.84 = 203.21 : x
  2. Step 2: Convert to fraction form
    327.55/451.84 = 203.21/x
  3. Step 3: Cross multiply
    327.55x = 451.84 × 203.21
  4. Step 4: Simplify right side
    327.55x = 91,817.39
  5. Step 5: Solve for x
    x = 91,817.39/327.55
  6. Step 6: Final answer
    x = 280.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.