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Finding the Fourth Proportional to 241.28, 363.96 and 231.20

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Solution

The fourth proportional to 241.28, 363.96 and 231.20 is: 348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.28 : 363.96 = 231.20 : x
  2. Step 2: Convert to fraction form
    241.28/363.96 = 231.20/x
  3. Step 3: Cross multiply
    241.28x = 363.96 × 231.20
  4. Step 4: Simplify right side
    241.28x = 84,147.55
  5. Step 5: Solve for x
    x = 84,147.55/241.28
  6. Step 6: Final answer
    x = 348.75

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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.