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Finding the Fourth Proportional to 397.12, 550.24 and 388.48

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Solution

The fourth proportional to 397.12, 550.24 and 388.48 is: 538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 550.24 = 388.48 : x
  2. Step 2: Convert to fraction form
    397.12/550.24 = 388.48/x
  3. Step 3: Cross multiply
    397.12x = 550.24 × 388.48
  4. Step 4: Simplify right side
    397.12x = 213,757.24
  5. Step 5: Solve for x
    x = 213,757.24/397.12
  6. Step 6: Final answer
    x = 538.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.