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Finding the Fourth Proportional to 381.64, 523.23 and 374.34

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Solution

The fourth proportional to 381.64, 523.23 and 374.34 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 523.23 = 374.34 : x
  2. Step 2: Convert to fraction form
    381.64/523.23 = 374.34/x
  3. Step 3: Cross multiply
    381.64x = 523.23 × 374.34
  4. Step 4: Simplify right side
    381.64x = 195,865.92
  5. Step 5: Solve for x
    x = 195,865.92/381.64
  6. Step 6: Final answer
    x = 513.22

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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.