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Finding the Fourth Proportional to 400.08, 552.84 and 323.28

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Solution

The fourth proportional to 400.08, 552.84 and 323.28 is: 446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 552.84 = 323.28 : x
  2. Step 2: Convert to fraction form
    400.08/552.84 = 323.28/x
  3. Step 3: Cross multiply
    400.08x = 552.84 × 323.28
  4. Step 4: Simplify right side
    400.08x = 178,722.12
  5. Step 5: Solve for x
    x = 178,722.12/400.08
  6. Step 6: Final answer
    x = 446.72

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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.