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Finding the Fourth Proportional to 327.99, 452.66 and 203.76

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Solution

The fourth proportional to 327.99, 452.66 and 203.76 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.99 : 452.66 = 203.76 : x
  2. Step 2: Convert to fraction form
    327.99/452.66 = 203.76/x
  3. Step 3: Cross multiply
    327.99x = 452.66 × 203.76
  4. Step 4: Simplify right side
    327.99x = 92,234.00
  5. Step 5: Solve for x
    x = 92,234.00/327.99
  6. Step 6: Final answer
    x = 281.21

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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.