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Finding the Fourth Proportional to 161.22, 222.30 and 143.82

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Solution

The fourth proportional to 161.22, 222.30 and 143.82 is: 198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.22 : 222.30 = 143.82 : x
  2. Step 2: Convert to fraction form
    161.22/222.30 = 143.82/x
  3. Step 3: Cross multiply
    161.22x = 222.30 × 143.82
  4. Step 4: Simplify right side
    161.22x = 31,971.19
  5. Step 5: Solve for x
    x = 31,971.19/161.22
  6. Step 6: Final answer
    x = 198.31

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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.