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Finding the Fourth Proportional to 112.01, 166.66 and 109.22

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Solution

The fourth proportional to 112.01, 166.66 and 109.22 is: 162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.01 : 166.66 = 109.22 : x
  2. Step 2: Convert to fraction form
    112.01/166.66 = 109.22/x
  3. Step 3: Cross multiply
    112.01x = 166.66 × 109.22
  4. Step 4: Simplify right side
    112.01x = 18,202.61
  5. Step 5: Solve for x
    x = 18,202.61/112.01
  6. Step 6: Final answer
    x = 162.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.