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Finding the Fourth Proportional to 397.38, 550.86 and 381.99

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Solution

The fourth proportional to 397.38, 550.86 and 381.99 is: 529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.38 : 550.86 = 381.99 : x
  2. Step 2: Convert to fraction form
    397.38/550.86 = 381.99/x
  3. Step 3: Cross multiply
    397.38x = 550.86 × 381.99
  4. Step 4: Simplify right side
    397.38x = 210,423.01
  5. Step 5: Solve for x
    x = 210,423.01/397.38
  6. Step 6: Final answer
    x = 529.53

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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.