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Finding the Fourth Proportional to 113.63, 169.49 and 111.77

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Solution

The fourth proportional to 113.63, 169.49 and 111.77 is: 166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 169.49 = 111.77 : x
  2. Step 2: Convert to fraction form
    113.63/169.49 = 111.77/x
  3. Step 3: Cross multiply
    113.63x = 169.49 × 111.77
  4. Step 4: Simplify right side
    113.63x = 18,942.49
  5. Step 5: Solve for x
    x = 18,942.49/113.63
  6. Step 6: Final answer
    x = 166.71

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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.