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Finding the Fourth Proportional to 400, 551.52 and 326.16

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Solution

The fourth proportional to 400, 551.52 and 326.16 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 551.52 = 326.16 : x
  2. Step 2: Convert to fraction form
    400/551.52 = 326.16/x
  3. Step 3: Cross multiply
    400x = 551.52 × 326.16
  4. Step 4: Simplify right side
    400x = 179,883.76
  5. Step 5: Solve for x
    x = 179,883.76/400
  6. Step 6: Final answer
    x = 449.71

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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.