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Finding the Fourth Proportional to 163.44, 222.48 and 162.54

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Solution

The fourth proportional to 163.44, 222.48 and 162.54 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.44 : 222.48 = 162.54 : x
  2. Step 2: Convert to fraction form
    163.44/222.48 = 162.54/x
  3. Step 3: Cross multiply
    163.44x = 222.48 × 162.54
  4. Step 4: Simplify right side
    163.44x = 36,161.90
  5. Step 5: Solve for x
    x = 36,161.90/163.44
  6. Step 6: Final answer
    x = 221.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.