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Finding the Fourth Proportional to 241.83, 363.42 and 225.42

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Solution

The fourth proportional to 241.83, 363.42 and 225.42 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.83 : 363.42 = 225.42 : x
  2. Step 2: Convert to fraction form
    241.83/363.42 = 225.42/x
  3. Step 3: Cross multiply
    241.83x = 363.42 × 225.42
  4. Step 4: Simplify right side
    241.83x = 81,922.14
  5. Step 5: Solve for x
    x = 81,922.14/241.83
  6. Step 6: Final answer
    x = 338.76

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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.