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Finding the Fourth Proportional to 327.63, 490.97 and 165.09

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Solution

The fourth proportional to 327.63, 490.97 and 165.09 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.63 : 490.97 = 165.09 : x
  2. Step 2: Convert to fraction form
    327.63/490.97 = 165.09/x
  3. Step 3: Cross multiply
    327.63x = 490.97 × 165.09
  4. Step 4: Simplify right side
    327.63x = 81,053.41
  5. Step 5: Solve for x
    x = 81,053.41/327.63
  6. Step 6: Final answer
    x = 247.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.