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Finding the Fourth Proportional to 327.30, 491.07 and 165

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Solution

The fourth proportional to 327.30, 491.07 and 165 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.30 : 491.07 = 165 : x
  2. Step 2: Convert to fraction form
    327.30/491.07 = 165/x
  3. Step 3: Cross multiply
    327.30x = 491.07 × 165
  4. Step 4: Simplify right side
    327.30x = 81,026.55
  5. Step 5: Solve for x
    x = 81,026.55/327.30
  6. Step 6: Final answer
    x = 247.56

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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.