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Finding the Fourth Proportional to 550.39, 824.78 and 241.96

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Solution

The fourth proportional to 550.39, 824.78 and 241.96 is: 362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.39 : 824.78 = 241.96 : x
  2. Step 2: Convert to fraction form
    550.39/824.78 = 241.96/x
  3. Step 3: Cross multiply
    550.39x = 824.78 × 241.96
  4. Step 4: Simplify right side
    550.39x = 199,562.56
  5. Step 5: Solve for x
    x = 199,562.56/550.39
  6. Step 6: Final answer
    x = 362.58

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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.