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Finding the Fourth Proportional to 381.57, 523.54 and 371.23

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Solution

The fourth proportional to 381.57, 523.54 and 371.23 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.57 : 523.54 = 371.23 : x
  2. Step 2: Convert to fraction form
    381.57/523.54 = 371.23/x
  3. Step 3: Cross multiply
    381.57x = 523.54 × 371.23
  4. Step 4: Simplify right side
    381.57x = 194,353.75
  5. Step 5: Solve for x
    x = 194,353.75/381.57
  6. Step 6: Final answer
    x = 509.35

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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.