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Finding the Fourth Proportional to 110.43, 153.11 and 107.24

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Solution

The fourth proportional to 110.43, 153.11 and 107.24 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 153.11 = 107.24 : x
  2. Step 2: Convert to fraction form
    110.43/153.11 = 107.24/x
  3. Step 3: Cross multiply
    110.43x = 153.11 × 107.24
  4. Step 4: Simplify right side
    110.43x = 16,419.52
  5. Step 5: Solve for x
    x = 16,419.52/110.43
  6. Step 6: Final answer
    x = 148.69

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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.