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Finding the Fourth Proportional to 263.89, 395.42 and 241.09

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Solution

The fourth proportional to 263.89, 395.42 and 241.09 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.89 : 395.42 = 241.09 : x
  2. Step 2: Convert to fraction form
    263.89/395.42 = 241.09/x
  3. Step 3: Cross multiply
    263.89x = 395.42 × 241.09
  4. Step 4: Simplify right side
    263.89x = 95,330.60
  5. Step 5: Solve for x
    x = 95,330.60/263.89
  6. Step 6: Final answer
    x = 361.25

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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.