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Finding the Fourth Proportional to 256.26, 353.76 and 163.05

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Solution

The fourth proportional to 256.26, 353.76 and 163.05 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.76 = 163.05 : x
  2. Step 2: Convert to fraction form
    256.26/353.76 = 163.05/x
  3. Step 3: Cross multiply
    256.26x = 353.76 × 163.05
  4. Step 4: Simplify right side
    256.26x = 57,680.57
  5. Step 5: Solve for x
    x = 57,680.57/256.26
  6. Step 6: Final answer
    x = 225.09

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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.