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Finding the Fourth Proportional to 397.79, 548.90 and 220.73

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Solution

The fourth proportional to 397.79, 548.90 and 220.73 is: 304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.79 : 548.90 = 220.73 : x
  2. Step 2: Convert to fraction form
    397.79/548.90 = 220.73/x
  3. Step 3: Cross multiply
    397.79x = 548.90 × 220.73
  4. Step 4: Simplify right side
    397.79x = 121,158.97
  5. Step 5: Solve for x
    x = 121,158.97/397.79
  6. Step 6: Final answer
    x = 304.58

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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.