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Finding the Fourth Proportional to 401.67, 550.97 and 398.20

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Solution

The fourth proportional to 401.67, 550.97 and 398.20 is: 546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 550.97 = 398.20 : x
  2. Step 2: Convert to fraction form
    401.67/550.97 = 398.20/x
  3. Step 3: Cross multiply
    401.67x = 550.97 × 398.20
  4. Step 4: Simplify right side
    401.67x = 219,396.25
  5. Step 5: Solve for x
    x = 219,396.25/401.67
  6. Step 6: Final answer
    x = 546.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.