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Finding the Fourth Proportional to 397.20, 550.70 and 374.16

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Solution

The fourth proportional to 397.20, 550.70 and 374.16 is: 518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 550.70 = 374.16 : x
  2. Step 2: Convert to fraction form
    397.20/550.70 = 374.16/x
  3. Step 3: Cross multiply
    397.20x = 550.70 × 374.16
  4. Step 4: Simplify right side
    397.20x = 206,049.91
  5. Step 5: Solve for x
    x = 206,049.91/397.20
  6. Step 6: Final answer
    x = 518.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.