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Finding the Fourth Proportional to 161.82, 222.48 and 144.16

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Solution

The fourth proportional to 161.82, 222.48 and 144.16 is: 198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 222.48 = 144.16 : x
  2. Step 2: Convert to fraction form
    161.82/222.48 = 144.16/x
  3. Step 3: Cross multiply
    161.82x = 222.48 × 144.16
  4. Step 4: Simplify right side
    161.82x = 32,072.72
  5. Step 5: Solve for x
    x = 32,072.72/161.82
  6. Step 6: Final answer
    x = 198.20

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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.