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Finding the Fourth Proportional to 161.66, 222.78 and 109.16

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Solution

The fourth proportional to 161.66, 222.78 and 109.16 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.66 : 222.78 = 109.16 : x
  2. Step 2: Convert to fraction form
    161.66/222.78 = 109.16/x
  3. Step 3: Cross multiply
    161.66x = 222.78 × 109.16
  4. Step 4: Simplify right side
    161.66x = 24,318.66
  5. Step 5: Solve for x
    x = 24,318.66/161.66
  6. Step 6: Final answer
    x = 150.43

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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.