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Finding the Fourth Proportional to 331.25, 496.46 and 209.55

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Solution

The fourth proportional to 331.25, 496.46 and 209.55 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 496.46 = 209.55 : x
  2. Step 2: Convert to fraction form
    331.25/496.46 = 209.55/x
  3. Step 3: Cross multiply
    331.25x = 496.46 × 209.55
  4. Step 4: Simplify right side
    331.25x = 104,032.79
  5. Step 5: Solve for x
    x = 104,032.79/331.25
  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.