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Finding the Fourth Proportional to 327.74, 452.06 and 217.34

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Solution

The fourth proportional to 327.74, 452.06 and 217.34 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 452.06 = 217.34 : x
  2. Step 2: Convert to fraction form
    327.74/452.06 = 217.34/x
  3. Step 3: Cross multiply
    327.74x = 452.06 × 217.34
  4. Step 4: Simplify right side
    327.74x = 98,247.37
  5. Step 5: Solve for x
    x = 98,247.37/327.74
  6. Step 6: Final answer
    x = 299.78

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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.