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Finding the Fourth Proportional to 537.78, 807.21 and 249.42

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Solution

The fourth proportional to 537.78, 807.21 and 249.42 is: 374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.78 : 807.21 = 249.42 : x
  2. Step 2: Convert to fraction form
    537.78/807.21 = 249.42/x
  3. Step 3: Cross multiply
    537.78x = 807.21 × 249.42
  4. Step 4: Simplify right side
    537.78x = 201,334.32
  5. Step 5: Solve for x
    x = 201,334.32/537.78
  6. Step 6: Final answer
    x = 374.38

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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.