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Finding the Fourth Proportional to 256.26, 352.69 and 246.94

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Solution

The fourth proportional to 256.26, 352.69 and 246.94 is: 339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 352.69 = 246.94 : x
  2. Step 2: Convert to fraction form
    256.26/352.69 = 246.94/x
  3. Step 3: Cross multiply
    256.26x = 352.69 × 246.94
  4. Step 4: Simplify right side
    256.26x = 87,093.27
  5. Step 5: Solve for x
    x = 87,093.27/256.26
  6. Step 6: Final answer
    x = 339.86

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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.