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Finding the Fourth Proportional to 256.93, 354.72 and 163.81

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Solution

The fourth proportional to 256.93, 354.72 and 163.81 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.93 : 354.72 = 163.81 : x
  2. Step 2: Convert to fraction form
    256.93/354.72 = 163.81/x
  3. Step 3: Cross multiply
    256.93x = 354.72 × 163.81
  4. Step 4: Simplify right side
    256.93x = 58,106.68
  5. Step 5: Solve for x
    x = 58,106.68/256.93
  6. Step 6: Final answer
    x = 226.16

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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.