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Finding the Fourth Proportional to 161.45, 222.92 and 120.10

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Solution

The fourth proportional to 161.45, 222.92 and 120.10 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.45 : 222.92 = 120.10 : x
  2. Step 2: Convert to fraction form
    161.45/222.92 = 120.10/x
  3. Step 3: Cross multiply
    161.45x = 222.92 × 120.10
  4. Step 4: Simplify right side
    161.45x = 26,772.69
  5. Step 5: Solve for x
    x = 26,772.69/161.45
  6. Step 6: Final answer
    x = 165.83

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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.