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Finding the Fourth Proportional to 110.44, 153.05 and 109.12

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Solution

The fourth proportional to 110.44, 153.05 and 109.12 is: 151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 153.05 = 109.12 : x
  2. Step 2: Convert to fraction form
    110.44/153.05 = 109.12/x
  3. Step 3: Cross multiply
    110.44x = 153.05 × 109.12
  4. Step 4: Simplify right side
    110.44x = 16,700.82
  5. Step 5: Solve for x
    x = 16,700.82/110.44
  6. Step 6: Final answer
    x = 151.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.