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Finding the Fourth Proportional to 266.76, 398.61 and 198.42

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Solution

The fourth proportional to 266.76, 398.61 and 198.42 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 398.61 = 198.42 : x
  2. Step 2: Convert to fraction form
    266.76/398.61 = 198.42/x
  3. Step 3: Cross multiply
    266.76x = 398.61 × 198.42
  4. Step 4: Simplify right side
    266.76x = 79,092.20
  5. Step 5: Solve for x
    x = 79,092.20/266.76
  6. Step 6: Final answer
    x = 296.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.