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Finding the Fourth Proportional to 397.89, 548.97 and 223.23

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Solution

The fourth proportional to 397.89, 548.97 and 223.23 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 548.97 = 223.23 : x
  2. Step 2: Convert to fraction form
    397.89/548.97 = 223.23/x
  3. Step 3: Cross multiply
    397.89x = 548.97 × 223.23
  4. Step 4: Simplify right side
    397.89x = 122,546.57
  5. Step 5: Solve for x
    x = 122,546.57/397.89
  6. Step 6: Final answer
    x = 307.99

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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.