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Finding the Fourth Proportional to 398.97, 550.01 and 280.59

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Solution

The fourth proportional to 398.97, 550.01 and 280.59 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.97 : 550.01 = 280.59 : x
  2. Step 2: Convert to fraction form
    398.97/550.01 = 280.59/x
  3. Step 3: Cross multiply
    398.97x = 550.01 × 280.59
  4. Step 4: Simplify right side
    398.97x = 154,325.94
  5. Step 5: Solve for x
    x = 154,325.94/398.97
  6. Step 6: Final answer
    x = 386.81

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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.