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Finding the Fourth Proportional to 286.59, 394.46 and 256.97

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Solution

The fourth proportional to 286.59, 394.46 and 256.97 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.59 : 394.46 = 256.97 : x
  2. Step 2: Convert to fraction form
    286.59/394.46 = 256.97/x
  3. Step 3: Cross multiply
    286.59x = 394.46 × 256.97
  4. Step 4: Simplify right side
    286.59x = 101,364.69
  5. Step 5: Solve for x
    x = 101,364.69/286.59
  6. Step 6: Final answer
    x = 353.69

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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.