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Finding the Fourth Proportional to 262.98, 363.57 and 221.54

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Solution

The fourth proportional to 262.98, 363.57 and 221.54 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 363.57 = 221.54 : x
  2. Step 2: Convert to fraction form
    262.98/363.57 = 221.54/x
  3. Step 3: Cross multiply
    262.98x = 363.57 × 221.54
  4. Step 4: Simplify right side
    262.98x = 80,545.30
  5. Step 5: Solve for x
    x = 80,545.30/262.98
  6. Step 6: Final answer
    x = 306.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.