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Finding the Fourth Proportional to 327.82, 492.41 and 316.89

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Solution

The fourth proportional to 327.82, 492.41 and 316.89 is: 475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 492.41 = 316.89 : x
  2. Step 2: Convert to fraction form
    327.82/492.41 = 316.89/x
  3. Step 3: Cross multiply
    327.82x = 492.41 × 316.89
  4. Step 4: Simplify right side
    327.82x = 156,039.80
  5. Step 5: Solve for x
    x = 156,039.80/327.82
  6. Step 6: Final answer
    x = 475.99

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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.