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Finding the Fourth Proportional to 493.28, 681 and 327.70

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Solution

The fourth proportional to 493.28, 681 and 327.70 is: 452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 681 = 327.70 : x
  2. Step 2: Convert to fraction form
    493.28/681 = 327.70/x
  3. Step 3: Cross multiply
    493.28x = 681 × 327.70
  4. Step 4: Simplify right side
    493.28x = 223,163.70
  5. Step 5: Solve for x
    x = 223,163.70/493.28
  6. Step 6: Final answer
    x = 452.41

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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.