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Finding the Fourth Proportional to 818.19, 1,227.49 and 270.43

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Solution

The fourth proportional to 818.19, 1,227.49 and 270.43 is: 405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.19 : 1,227.49 = 270.43 : x
  2. Step 2: Convert to fraction form
    818.19/1,227.49 = 270.43/x
  3. Step 3: Cross multiply
    818.19x = 1,227.49 × 270.43
  4. Step 4: Simplify right side
    818.19x = 331,950.12
  5. Step 5: Solve for x
    x = 331,950.12/818.19
  6. Step 6: Final answer
    x = 405.71

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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.