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Finding the Fourth Proportional to 327.82, 491.09 and 311.21

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Solution

The fourth proportional to 327.82, 491.09 and 311.21 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 491.09 = 311.21 : x
  2. Step 2: Convert to fraction form
    327.82/491.09 = 311.21/x
  3. Step 3: Cross multiply
    327.82x = 491.09 × 311.21
  4. Step 4: Simplify right side
    327.82x = 152,832.12
  5. Step 5: Solve for x
    x = 152,832.12/327.82
  6. Step 6: Final answer
    x = 466.21

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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.