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Finding the Fourth Proportional to 163.46, 225.64 and 116.96

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Solution

The fourth proportional to 163.46, 225.64 and 116.96 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 225.64 = 116.96 : x
  2. Step 2: Convert to fraction form
    163.46/225.64 = 116.96/x
  3. Step 3: Cross multiply
    163.46x = 225.64 × 116.96
  4. Step 4: Simplify right side
    163.46x = 26,390.85
  5. Step 5: Solve for x
    x = 26,390.85/163.46
  6. Step 6: Final answer
    x = 161.45

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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.