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Finding the Fourth Proportional to 327.99, 452.45 and 203.57

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Solution

The fourth proportional to 327.99, 452.45 and 203.57 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.99 : 452.45 = 203.57 : x
  2. Step 2: Convert to fraction form
    327.99/452.45 = 203.57/x
  3. Step 3: Cross multiply
    327.99x = 452.45 × 203.57
  4. Step 4: Simplify right side
    327.99x = 92,105.25
  5. Step 5: Solve for x
    x = 92,105.25/327.99
  6. Step 6: Final answer
    x = 280.82

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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.