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Finding the Fourth Proportional to 400.65, 549.79 and 396.09

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Solution

The fourth proportional to 400.65, 549.79 and 396.09 is: 543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.65 : 549.79 = 396.09 : x
  2. Step 2: Convert to fraction form
    400.65/549.79 = 396.09/x
  3. Step 3: Cross multiply
    400.65x = 549.79 × 396.09
  4. Step 4: Simplify right side
    400.65x = 217,765.33
  5. Step 5: Solve for x
    x = 217,765.33/400.65
  6. Step 6: Final answer
    x = 543.54

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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.