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Finding the Fourth Proportional to 331.07, 496.61 and 209.37

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Solution

The fourth proportional to 331.07, 496.61 and 209.37 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.07 : 496.61 = 209.37 : x
  2. Step 2: Convert to fraction form
    331.07/496.61 = 209.37/x
  3. Step 3: Cross multiply
    331.07x = 496.61 × 209.37
  4. Step 4: Simplify right side
    331.07x = 103,974.97
  5. Step 5: Solve for x
    x = 103,974.97/331.07
  6. Step 6: Final answer
    x = 314.06

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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.