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Finding the Fourth Proportional to 381.20, 524.94 and 371.12

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Solution

The fourth proportional to 381.20, 524.94 and 371.12 is: 511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 524.94 = 371.12 : x
  2. Step 2: Convert to fraction form
    381.20/524.94 = 371.12/x
  3. Step 3: Cross multiply
    381.20x = 524.94 × 371.12
  4. Step 4: Simplify right side
    381.20x = 194,815.73
  5. Step 5: Solve for x
    x = 194,815.73/381.20
  6. Step 6: Final answer
    x = 511.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.