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Finding the Fourth Proportional to 381.85, 529.16 and 374.56

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Solution

The fourth proportional to 381.85, 529.16 and 374.56 is: 519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.85 : 529.16 = 374.56 : x
  2. Step 2: Convert to fraction form
    381.85/529.16 = 374.56/x
  3. Step 3: Cross multiply
    381.85x = 529.16 × 374.56
  4. Step 4: Simplify right side
    381.85x = 198,198.97
  5. Step 5: Solve for x
    x = 198,198.97/381.85
  6. Step 6: Final answer
    x = 519.05

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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.