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Finding the Fourth Proportional to 161.17, 222 and 111.94

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Solution

The fourth proportional to 161.17, 222 and 111.94 is: 154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.17 : 222 = 111.94 : x
  2. Step 2: Convert to fraction form
    161.17/222 = 111.94/x
  3. Step 3: Cross multiply
    161.17x = 222 × 111.94
  4. Step 4: Simplify right side
    161.17x = 24,850.68
  5. Step 5: Solve for x
    x = 24,850.68/161.17
  6. Step 6: Final answer
    x = 154.19

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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.