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Finding the Fourth Proportional to 381.14, 522.60 and 344.14

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Solution

The fourth proportional to 381.14, 522.60 and 344.14 is: 471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 522.60 = 344.14 : x
  2. Step 2: Convert to fraction form
    381.14/522.60 = 344.14/x
  3. Step 3: Cross multiply
    381.14x = 522.60 × 344.14
  4. Step 4: Simplify right side
    381.14x = 179,847.56
  5. Step 5: Solve for x
    x = 179,847.56/381.14
  6. Step 6: Final answer
    x = 471.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.