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Finding the Fourth Proportional to 381.01, 571.80 and 198.37

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Solution

The fourth proportional to 381.01, 571.80 and 198.37 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.01 : 571.80 = 198.37 : x
  2. Step 2: Convert to fraction form
    381.01/571.80 = 198.37/x
  3. Step 3: Cross multiply
    381.01x = 571.80 × 198.37
  4. Step 4: Simplify right side
    381.01x = 113,427.97
  5. Step 5: Solve for x
    x = 113,427.97/381.01
  6. Step 6: Final answer
    x = 297.70

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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.