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Finding the Fourth Proportional to 381.37, 574.31 and 343.30

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Solution

The fourth proportional to 381.37, 574.31 and 343.30 is: 516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.37 : 574.31 = 343.30 : x
  2. Step 2: Convert to fraction form
    381.37/574.31 = 343.30/x
  3. Step 3: Cross multiply
    381.37x = 574.31 × 343.30
  4. Step 4: Simplify right side
    381.37x = 197,160.62
  5. Step 5: Solve for x
    x = 197,160.62/381.37
  6. Step 6: Final answer
    x = 516.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.