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Finding the Fourth Proportional to 266.09, 396.85 and 227.81

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Solution

The fourth proportional to 266.09, 396.85 and 227.81 is: 339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 396.85 = 227.81 : x
  2. Step 2: Convert to fraction form
    266.09/396.85 = 227.81/x
  3. Step 3: Cross multiply
    266.09x = 396.85 × 227.81
  4. Step 4: Simplify right side
    266.09x = 90,407.25
  5. Step 5: Solve for x
    x = 90,407.25/266.09
  6. Step 6: Final answer
    x = 339.77

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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.