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Finding the Fourth Proportional to 161.49, 222.66 and 109.11

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Solution

The fourth proportional to 161.49, 222.66 and 109.11 is: 150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.49 : 222.66 = 109.11 : x
  2. Step 2: Convert to fraction form
    161.49/222.66 = 109.11/x
  3. Step 3: Cross multiply
    161.49x = 222.66 × 109.11
  4. Step 4: Simplify right side
    161.49x = 24,294.43
  5. Step 5: Solve for x
    x = 24,294.43/161.49
  6. Step 6: Final answer
    x = 150.44

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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.