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Finding the Fourth Proportional to 398.75, 550.42 and 251.38

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Solution

The fourth proportional to 398.75, 550.42 and 251.38 is: 347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.75 : 550.42 = 251.38 : x
  2. Step 2: Convert to fraction form
    398.75/550.42 = 251.38/x
  3. Step 3: Cross multiply
    398.75x = 550.42 × 251.38
  4. Step 4: Simplify right side
    398.75x = 138,364.58
  5. Step 5: Solve for x
    x = 138,364.58/398.75
  6. Step 6: Final answer
    x = 347.00

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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.