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Finding the Fourth Proportional to 321.31, 481.46 and 191.05

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Solution

The fourth proportional to 321.31, 481.46 and 191.05 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.31 : 481.46 = 191.05 : x
  2. Step 2: Convert to fraction form
    321.31/481.46 = 191.05/x
  3. Step 3: Cross multiply
    321.31x = 481.46 × 191.05
  4. Step 4: Simplify right side
    321.31x = 91,979.57
  5. Step 5: Solve for x
    x = 91,979.57/321.31
  6. Step 6: Final answer
    x = 286.27

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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.