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Finding the Fourth Proportional to 814.75, 1,221.26 and 266.78

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Solution

The fourth proportional to 814.75, 1,221.26 and 266.78 is: 399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.75 : 1,221.26 = 266.78 : x
  2. Step 2: Convert to fraction form
    814.75/1,221.26 = 266.78/x
  3. Step 3: Cross multiply
    814.75x = 1,221.26 × 266.78
  4. Step 4: Simplify right side
    814.75x = 325,809.46
  5. Step 5: Solve for x
    x = 325,809.46/814.75
  6. Step 6: Final answer
    x = 399.89

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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.