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Finding the Fourth Proportional to 268.98, 404.22 and 140.82

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Solution

The fourth proportional to 268.98, 404.22 and 140.82 is: 211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.98 : 404.22 = 140.82 : x
  2. Step 2: Convert to fraction form
    268.98/404.22 = 140.82/x
  3. Step 3: Cross multiply
    268.98x = 404.22 × 140.82
  4. Step 4: Simplify right side
    268.98x = 56,922.26
  5. Step 5: Solve for x
    x = 56,922.26/268.98
  6. Step 6: Final answer
    x = 211.62

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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.