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Finding the Fourth Proportional to 493.47, 681.09 and 327.69

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Solution

The fourth proportional to 493.47, 681.09 and 327.69 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 681.09 = 327.69 : x
  2. Step 2: Convert to fraction form
    493.47/681.09 = 327.69/x
  3. Step 3: Cross multiply
    493.47x = 681.09 × 327.69
  4. Step 4: Simplify right side
    493.47x = 223,186.38
  5. Step 5: Solve for x
    x = 223,186.38/493.47
  6. Step 6: Final answer
    x = 452.28

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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.