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Finding the Fourth Proportional to 537.78, 806.24 and 249.42

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Solution

The fourth proportional to 537.78, 806.24 and 249.42 is: 373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 806.24 = 249.42 : x
  2. Step 2: Convert to fraction form
    537.78/806.24 = 249.42/x
  3. Step 3: Cross multiply
    537.78x = 806.24 × 249.42
  4. Step 4: Simplify right side
    537.78x = 201,092.38
  5. Step 5: Solve for x
    x = 201,092.38/537.78
  6. Step 6: Final answer
    x = 373.93

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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.