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Finding the Fourth Proportional to 327.43, 451.71 and 203.01

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Solution

The fourth proportional to 327.43, 451.71 and 203.01 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.43 : 451.71 = 203.01 : x
  2. Step 2: Convert to fraction form
    327.43/451.71 = 203.01/x
  3. Step 3: Cross multiply
    327.43x = 451.71 × 203.01
  4. Step 4: Simplify right side
    327.43x = 91,699.95
  5. Step 5: Solve for x
    x = 91,699.95/327.43
  6. Step 6: Final answer
    x = 280.06

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