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Finding the Fourth Proportional to 493.10, 679.98 and 327.32

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Solution

The fourth proportional to 493.10, 679.98 and 327.32 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.10 : 679.98 = 327.32 : x
  2. Step 2: Convert to fraction form
    493.10/679.98 = 327.32/x
  3. Step 3: Cross multiply
    493.10x = 679.98 × 327.32
  4. Step 4: Simplify right side
    493.10x = 222,571.05
  5. Step 5: Solve for x
    x = 222,571.05/493.10
  6. Step 6: Final answer
    x = 451.37

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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.