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Finding the Fourth Proportional to 550.05, 825.22 and 388.05

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Solution

The fourth proportional to 550.05, 825.22 and 388.05 is: 582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.05 : 825.22 = 388.05 : x
  2. Step 2: Convert to fraction form
    550.05/825.22 = 388.05/x
  3. Step 3: Cross multiply
    550.05x = 825.22 × 388.05
  4. Step 4: Simplify right side
    550.05x = 320,226.62
  5. Step 5: Solve for x
    x = 320,226.62/550.05
  6. Step 6: Final answer
    x = 582.18

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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.