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Finding the Fourth Proportional to 360.41, 497.09 and 249.91

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Solution

The fourth proportional to 360.41, 497.09 and 249.91 is: 344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 497.09 = 249.91 : x
  2. Step 2: Convert to fraction form
    360.41/497.09 = 249.91/x
  3. Step 3: Cross multiply
    360.41x = 497.09 × 249.91
  4. Step 4: Simplify right side
    360.41x = 124,227.14
  5. Step 5: Solve for x
    x = 124,227.14/360.41
  6. Step 6: Final answer
    x = 344.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.