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Finding the Fourth Proportional to 397.30, 548.26 and 217.85

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Solution

The fourth proportional to 397.30, 548.26 and 217.85 is: 300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.30 : 548.26 = 217.85 : x
  2. Step 2: Convert to fraction form
    397.30/548.26 = 217.85/x
  3. Step 3: Cross multiply
    397.30x = 548.26 × 217.85
  4. Step 4: Simplify right side
    397.30x = 119,436.24
  5. Step 5: Solve for x
    x = 119,436.24/397.30
  6. Step 6: Final answer
    x = 300.62

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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.