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Finding the Fourth Proportional to 110.20, 150.77 and 109.12

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Solution

The fourth proportional to 110.20, 150.77 and 109.12 is: 149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.20 : 150.77 = 109.12 : x
  2. Step 2: Convert to fraction form
    110.20/150.77 = 109.12/x
  3. Step 3: Cross multiply
    110.20x = 150.77 × 109.12
  4. Step 4: Simplify right side
    110.20x = 16,452.02
  5. Step 5: Solve for x
    x = 16,452.02/110.20
  6. Step 6: Final answer
    x = 149.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.