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Finding the Fourth Proportional to 163.15, 224.78 and 131.96

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Solution

The fourth proportional to 163.15, 224.78 and 131.96 is: 181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 224.78 = 131.96 : x
  2. Step 2: Convert to fraction form
    163.15/224.78 = 131.96/x
  3. Step 3: Cross multiply
    163.15x = 224.78 × 131.96
  4. Step 4: Simplify right side
    163.15x = 29,661.87
  5. Step 5: Solve for x
    x = 29,661.87/163.15
  6. Step 6: Final answer
    x = 181.81

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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.