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Finding the Fourth Proportional to 818.85, 1,227.92 and 241.59

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Solution

The fourth proportional to 818.85, 1,227.92 and 241.59 is: 362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.85 : 1,227.92 = 241.59 : x
  2. Step 2: Convert to fraction form
    818.85/1,227.92 = 241.59/x
  3. Step 3: Cross multiply
    818.85x = 1,227.92 × 241.59
  4. Step 4: Simplify right side
    818.85x = 296,651.98
  5. Step 5: Solve for x
    x = 296,651.98/818.85
  6. Step 6: Final answer
    x = 362.28

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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.