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Finding the Fourth Proportional to 110.46, 150.39 and 110.09

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Solution

The fourth proportional to 110.46, 150.39 and 110.09 is: 149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.46 : 150.39 = 110.09 : x
  2. Step 2: Convert to fraction form
    110.46/150.39 = 110.09/x
  3. Step 3: Cross multiply
    110.46x = 150.39 × 110.09
  4. Step 4: Simplify right side
    110.46x = 16,556.81
  5. Step 5: Solve for x
    x = 16,556.81/110.46
  6. Step 6: Final answer
    x = 149.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.