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Finding the Fourth Proportional to 112.35, 167.55 and 110.19

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Solution

The fourth proportional to 112.35, 167.55 and 110.19 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.35 : 167.55 = 110.19 : x
  2. Step 2: Convert to fraction form
    112.35/167.55 = 110.19/x
  3. Step 3: Cross multiply
    112.35x = 167.55 × 110.19
  4. Step 4: Simplify right side
    112.35x = 18,462.33
  5. Step 5: Solve for x
    x = 18,462.33/112.35
  6. Step 6: Final answer
    x = 164.33

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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.