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Finding the Fourth Proportional to 256.96, 354.64 and 163.68

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Solution

The fourth proportional to 256.96, 354.64 and 163.68 is: 225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 354.64 = 163.68 : x
  2. Step 2: Convert to fraction form
    256.96/354.64 = 163.68/x
  3. Step 3: Cross multiply
    256.96x = 354.64 × 163.68
  4. Step 4: Simplify right side
    256.96x = 58,046.11
  5. Step 5: Solve for x
    x = 58,046.11/256.96
  6. Step 6: Final answer
    x = 225.90

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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.