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Finding the Fourth Proportional to 400.28, 551.93 and 321.76

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Solution

The fourth proportional to 400.28, 551.93 and 321.76 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 551.93 = 321.76 : x
  2. Step 2: Convert to fraction form
    400.28/551.93 = 321.76/x
  3. Step 3: Cross multiply
    400.28x = 551.93 × 321.76
  4. Step 4: Simplify right side
    400.28x = 177,589.00
  5. Step 5: Solve for x
    x = 177,589.00/400.28
  6. Step 6: Final answer
    x = 443.66

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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.