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Finding the Fourth Proportional to 1,204.46, 1,806.82 and 338.78

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Solution

The fourth proportional to 1,204.46, 1,806.82 and 338.78 is: 508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.46 : 1,806.82 = 338.78 : x
  2. Step 2: Convert to fraction form
    1,204.46/1,806.82 = 338.78/x
  3. Step 3: Cross multiply
    1,204.46x = 1,806.82 × 338.78
  4. Step 4: Simplify right side
    1,204.46x = 612,114.48
  5. Step 5: Solve for x
    x = 612,114.48/1,204.46
  6. Step 6: Final answer
    x = 508.21

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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.