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Finding the Fourth Proportional to 241.31, 363.22 and 206.08

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Solution

The fourth proportional to 241.31, 363.22 and 206.08 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.31 : 363.22 = 206.08 : x
  2. Step 2: Convert to fraction form
    241.31/363.22 = 206.08/x
  3. Step 3: Cross multiply
    241.31x = 363.22 × 206.08
  4. Step 4: Simplify right side
    241.31x = 74,850.95
  5. Step 5: Solve for x
    x = 74,850.95/241.31
  6. Step 6: Final answer
    x = 310.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.