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Finding the Fourth Proportional to 266.77, 400.12 and 221.41

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Solution

The fourth proportional to 266.77, 400.12 and 221.41 is: 332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.77 : 400.12 = 221.41 : x
  2. Step 2: Convert to fraction form
    266.77/400.12 = 221.41/x
  3. Step 3: Cross multiply
    266.77x = 400.12 × 221.41
  4. Step 4: Simplify right side
    266.77x = 88,589.02
  5. Step 5: Solve for x
    x = 88,589.02/266.77
  6. Step 6: Final answer
    x = 332.08

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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.