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Finding the Fourth Proportional to 263.68, 397.12 and 241.56

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Solution

The fourth proportional to 263.68, 397.12 and 241.56 is: 363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 397.12 = 241.56 : x
  2. Step 2: Convert to fraction form
    263.68/397.12 = 241.56/x
  3. Step 3: Cross multiply
    263.68x = 397.12 × 241.56
  4. Step 4: Simplify right side
    263.68x = 95,928.31
  5. Step 5: Solve for x
    x = 95,928.31/263.68
  6. Step 6: Final answer
    x = 363.81

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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.