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Finding the Fourth Proportional to 381.31, 571.46 and 198.32

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Solution

The fourth proportional to 381.31, 571.46 and 198.32 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.31 : 571.46 = 198.32 : x
  2. Step 2: Convert to fraction form
    381.31/571.46 = 198.32/x
  3. Step 3: Cross multiply
    381.31x = 571.46 × 198.32
  4. Step 4: Simplify right side
    381.31x = 113,328.10
  5. Step 5: Solve for x
    x = 113,328.10/381.31
  6. Step 6: Final answer
    x = 297.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.