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Finding the Fourth Proportional to 163.44, 222.72 and 162.24

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Solution

The fourth proportional to 163.44, 222.72 and 162.24 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.44 : 222.72 = 162.24 : x
  2. Step 2: Convert to fraction form
    163.44/222.72 = 162.24/x
  3. Step 3: Cross multiply
    163.44x = 222.72 × 162.24
  4. Step 4: Simplify right side
    163.44x = 36,134.09
  5. Step 5: Solve for x
    x = 36,134.09/163.44
  6. Step 6: Final answer
    x = 221.08

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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.