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Finding the Fourth Proportional to 266.98, 398.63 and 226.42

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Solution

The fourth proportional to 266.98, 398.63 and 226.42 is: 338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.98 : 398.63 = 226.42 : x
  2. Step 2: Convert to fraction form
    266.98/398.63 = 226.42/x
  3. Step 3: Cross multiply
    266.98x = 398.63 × 226.42
  4. Step 4: Simplify right side
    266.98x = 90,257.80
  5. Step 5: Solve for x
    x = 90,257.80/266.98
  6. Step 6: Final answer
    x = 338.07

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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.