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Finding the Fourth Proportional to 241.62, 362.97 and 209.22

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Solution

The fourth proportional to 241.62, 362.97 and 209.22 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.62 : 362.97 = 209.22 : x
  2. Step 2: Convert to fraction form
    241.62/362.97 = 209.22/x
  3. Step 3: Cross multiply
    241.62x = 362.97 × 209.22
  4. Step 4: Simplify right side
    241.62x = 75,940.58
  5. Step 5: Solve for x
    x = 75,940.58/241.62
  6. Step 6: Final answer
    x = 314.30

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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.