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Finding the Fourth Proportional to 111.78, 166.96 and 111.07

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Solution

The fourth proportional to 111.78, 166.96 and 111.07 is: 165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 166.96 = 111.07 : x
  2. Step 2: Convert to fraction form
    111.78/166.96 = 111.07/x
  3. Step 3: Cross multiply
    111.78x = 166.96 × 111.07
  4. Step 4: Simplify right side
    111.78x = 18,544.59
  5. Step 5: Solve for x
    x = 18,544.59/111.78
  6. Step 6: Final answer
    x = 165.90

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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.