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Finding the Fourth Proportional to 249.41, 374.09 and 84.85

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Solution

The fourth proportional to 249.41, 374.09 and 84.85 is: 127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.41 : 374.09 = 84.85 : x
  2. Step 2: Convert to fraction form
    249.41/374.09 = 84.85/x
  3. Step 3: Cross multiply
    249.41x = 374.09 × 84.85
  4. Step 4: Simplify right side
    249.41x = 31,740.18
  5. Step 5: Solve for x
    x = 31,740.18/249.41
  6. Step 6: Final answer
    x = 127.26

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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.