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Finding the Fourth Proportional to 400.82, 551.19 and 321.14

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Solution

The fourth proportional to 400.82, 551.19 and 321.14 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.82 : 551.19 = 321.14 : x
  2. Step 2: Convert to fraction form
    400.82/551.19 = 321.14/x
  3. Step 3: Cross multiply
    400.82x = 551.19 × 321.14
  4. Step 4: Simplify right side
    400.82x = 177,006.40
  5. Step 5: Solve for x
    x = 177,006.40/400.82
  6. Step 6: Final answer
    x = 441.62

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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.