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Finding the Fourth Proportional to 550.38, 825.14 and 333.70

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Solution

The fourth proportional to 550.38, 825.14 and 333.70 is: 500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.38 : 825.14 = 333.70 : x
  2. Step 2: Convert to fraction form
    550.38/825.14 = 333.70/x
  3. Step 3: Cross multiply
    550.38x = 825.14 × 333.70
  4. Step 4: Simplify right side
    550.38x = 275,349.22
  5. Step 5: Solve for x
    x = 275,349.22/550.38
  6. Step 6: Final answer
    x = 500.29

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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.