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Finding the Fourth Proportional to 666.75, 1,000.22 and 198.26

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Solution

The fourth proportional to 666.75, 1,000.22 and 198.26 is: 297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 1,000.22 = 198.26 : x
  2. Step 2: Convert to fraction form
    666.75/1,000.22 = 198.26/x
  3. Step 3: Cross multiply
    666.75x = 1,000.22 × 198.26
  4. Step 4: Simplify right side
    666.75x = 198,306.61
  5. Step 5: Solve for x
    x = 198,306.61/666.75
  6. Step 6: Final answer
    x = 297.42

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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.