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Finding the Fourth Proportional to 398.44, 549.87 and 223.79

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Solution

The fourth proportional to 398.44, 549.87 and 223.79 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.44 : 549.87 = 223.79 : x
  2. Step 2: Convert to fraction form
    398.44/549.87 = 223.79/x
  3. Step 3: Cross multiply
    398.44x = 549.87 × 223.79
  4. Step 4: Simplify right side
    398.44x = 123,055.94
  5. Step 5: Solve for x
    x = 123,055.94/398.44
  6. Step 6: Final answer
    x = 308.85

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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.