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Finding the Fourth Proportional to 397.85, 548.91 and 229.79

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Solution

The fourth proportional to 397.85, 548.91 and 229.79 is: 317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 548.91 = 229.79 : x
  2. Step 2: Convert to fraction form
    397.85/548.91 = 229.79/x
  3. Step 3: Cross multiply
    397.85x = 548.91 × 229.79
  4. Step 4: Simplify right side
    397.85x = 126,131.28
  5. Step 5: Solve for x
    x = 126,131.28/397.85
  6. Step 6: Final answer
    x = 317.04

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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.