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Finding the Fourth Proportional to 286.63, 396.29 and 249.74

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Solution

The fourth proportional to 286.63, 396.29 and 249.74 is: 345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.63 : 396.29 = 249.74 : x
  2. Step 2: Convert to fraction form
    286.63/396.29 = 249.74/x
  3. Step 3: Cross multiply
    286.63x = 396.29 × 249.74
  4. Step 4: Simplify right side
    286.63x = 98,969.46
  5. Step 5: Solve for x
    x = 98,969.46/286.63
  6. Step 6: Final answer
    x = 345.29

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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.