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Finding the Fourth Proportional to 711.88, 1,067.84 and 198.88

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Solution

The fourth proportional to 711.88, 1,067.84 and 198.88 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.88 : 1,067.84 = 198.88 : x
  2. Step 2: Convert to fraction form
    711.88/1,067.84 = 198.88/x
  3. Step 3: Cross multiply
    711.88x = 1,067.84 × 198.88
  4. Step 4: Simplify right side
    711.88x = 212,372.02
  5. Step 5: Solve for x
    x = 212,372.02/711.88
  6. Step 6: Final answer
    x = 298.33

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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.