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Finding the Fourth Proportional to 379.92, 524.15 and 249

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Solution

The fourth proportional to 379.92, 524.15 and 249 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.92 : 524.15 = 249 : x
  2. Step 2: Convert to fraction form
    379.92/524.15 = 249/x
  3. Step 3: Cross multiply
    379.92x = 524.15 × 249
  4. Step 4: Simplify right side
    379.92x = 130,513.35
  5. Step 5: Solve for x
    x = 130,513.35/379.92
  6. Step 6: Final answer
    x = 343.53

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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.