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Finding the Fourth Proportional to 111.87, 166.55 and 110.35

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Solution

The fourth proportional to 111.87, 166.55 and 110.35 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 166.55 = 110.35 : x
  2. Step 2: Convert to fraction form
    111.87/166.55 = 110.35/x
  3. Step 3: Cross multiply
    111.87x = 166.55 × 110.35
  4. Step 4: Simplify right side
    111.87x = 18,378.79
  5. Step 5: Solve for x
    x = 18,378.79/111.87
  6. Step 6: Final answer
    x = 164.29

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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.