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Finding the Fourth Proportional to 663.38, 995.04 and 273.27

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Solution

The fourth proportional to 663.38, 995.04 and 273.27 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.38 : 995.04 = 273.27 : x
  2. Step 2: Convert to fraction form
    663.38/995.04 = 273.27/x
  3. Step 3: Cross multiply
    663.38x = 995.04 × 273.27
  4. Step 4: Simplify right side
    663.38x = 271,914.58
  5. Step 5: Solve for x
    x = 271,914.58/663.38
  6. Step 6: Final answer
    x = 409.89

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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.