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Finding the Fourth Proportional to 111.78, 166.46 and 111.38

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Solution

The fourth proportional to 111.78, 166.46 and 111.38 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 166.46 = 111.38 : x
  2. Step 2: Convert to fraction form
    111.78/166.46 = 111.38/x
  3. Step 3: Cross multiply
    111.78x = 166.46 × 111.38
  4. Step 4: Simplify right side
    111.78x = 18,538.93
  5. Step 5: Solve for x
    x = 18,538.93/111.78
  6. Step 6: Final answer
    x = 165.85

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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.