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Finding the Fourth Proportional to 550.22, 825.37 and 225.59

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Solution

The fourth proportional to 550.22, 825.37 and 225.59 is: 338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.22 : 825.37 = 225.59 : x
  2. Step 2: Convert to fraction form
    550.22/825.37 = 225.59/x
  3. Step 3: Cross multiply
    550.22x = 825.37 × 225.59
  4. Step 4: Simplify right side
    550.22x = 186,190.53
  5. Step 5: Solve for x
    x = 186,190.53/550.22
  6. Step 6: Final answer
    x = 338.40

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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.