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Finding the Fourth Proportional to 266.90, 400.41 and 223.83

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Solution

The fourth proportional to 266.90, 400.41 and 223.83 is: 335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 400.41 = 223.83 : x
  2. Step 2: Convert to fraction form
    266.90/400.41 = 223.83/x
  3. Step 3: Cross multiply
    266.90x = 400.41 × 223.83
  4. Step 4: Simplify right side
    266.90x = 89,623.77
  5. Step 5: Solve for x
    x = 89,623.77/266.90
  6. Step 6: Final answer
    x = 335.80

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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.