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Finding the Fourth Proportional to 163.89, 224.64 and 163.62

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Solution

The fourth proportional to 163.89, 224.64 and 163.62 is: 224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 224.64 = 163.62 : x
  2. Step 2: Convert to fraction form
    163.89/224.64 = 163.62/x
  3. Step 3: Cross multiply
    163.89x = 224.64 × 163.62
  4. Step 4: Simplify right side
    163.89x = 36,755.60
  5. Step 5: Solve for x
    x = 36,755.60/163.89
  6. Step 6: Final answer
    x = 224.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.