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Finding the Fourth Proportional to 381, 570.72 and 198.06

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Solution

The fourth proportional to 381, 570.72 and 198.06 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 570.72 = 198.06 : x
  2. Step 2: Convert to fraction form
    381/570.72 = 198.06/x
  3. Step 3: Cross multiply
    381x = 570.72 × 198.06
  4. Step 4: Simplify right side
    381x = 113,036.80
  5. Step 5: Solve for x
    x = 113,036.80/381
  6. Step 6: Final answer
    x = 296.68

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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.