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Finding the Fourth Proportional to 493.31, 680.46 and 327.46

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Solution

The fourth proportional to 493.31, 680.46 and 327.46 is: 451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.31 : 680.46 = 327.46 : x
  2. Step 2: Convert to fraction form
    493.31/680.46 = 327.46/x
  3. Step 3: Cross multiply
    493.31x = 680.46 × 327.46
  4. Step 4: Simplify right side
    493.31x = 222,820.03
  5. Step 5: Solve for x
    x = 222,820.03/493.31
  6. Step 6: Final answer
    x = 451.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.