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Finding the Fourth Proportional to 110.83, 166.25 and 74.65

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Solution

The fourth proportional to 110.83, 166.25 and 74.65 is: 111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.83 : 166.25 = 74.65 : x
  2. Step 2: Convert to fraction form
    110.83/166.25 = 74.65/x
  3. Step 3: Cross multiply
    110.83x = 166.25 × 74.65
  4. Step 4: Simplify right side
    110.83x = 12,410.56
  5. Step 5: Solve for x
    x = 12,410.56/110.83
  6. Step 6: Final answer
    x = 111.98

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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.