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Finding the Fourth Proportional to 111.23, 166.39 and 77

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Solution

The fourth proportional to 111.23, 166.39 and 77 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.23 : 166.39 = 77 : x
  2. Step 2: Convert to fraction form
    111.23/166.39 = 77/x
  3. Step 3: Cross multiply
    111.23x = 166.39 × 77
  4. Step 4: Simplify right side
    111.23x = 12,812.03
  5. Step 5: Solve for x
    x = 12,812.03/111.23
  6. Step 6: Final answer
    x = 115.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.