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Finding the Fourth Proportional to 398.94, 550.83 and 344.27

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Solution

The fourth proportional to 398.94, 550.83 and 344.27 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.94 : 550.83 = 344.27 : x
  2. Step 2: Convert to fraction form
    398.94/550.83 = 344.27/x
  3. Step 3: Cross multiply
    398.94x = 550.83 × 344.27
  4. Step 4: Simplify right side
    398.94x = 189,631.49
  5. Step 5: Solve for x
    x = 189,631.49/398.94
  6. Step 6: Final answer
    x = 475.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.