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Finding the Fourth Proportional to 550.78, 825.62 and 242.80

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Solution

The fourth proportional to 550.78, 825.62 and 242.80 is: 363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 825.62 = 242.80 : x
  2. Step 2: Convert to fraction form
    550.78/825.62 = 242.80/x
  3. Step 3: Cross multiply
    550.78x = 825.62 × 242.80
  4. Step 4: Simplify right side
    550.78x = 200,460.54
  5. Step 5: Solve for x
    x = 200,460.54/550.78
  6. Step 6: Final answer
    x = 363.96

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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.