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Finding the Fourth Proportional to 161.72, 222.93 and 109.22

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Solution

The fourth proportional to 161.72, 222.93 and 109.22 is: 150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.72 : 222.93 = 109.22 : x
  2. Step 2: Convert to fraction form
    161.72/222.93 = 109.22/x
  3. Step 3: Cross multiply
    161.72x = 222.93 × 109.22
  4. Step 4: Simplify right side
    161.72x = 24,348.41
  5. Step 5: Solve for x
    x = 24,348.41/161.72
  6. Step 6: Final answer
    x = 150.56

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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.