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Finding the Fourth Proportional to 110.40, 153.04 and 108.40

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Solution

The fourth proportional to 110.40, 153.04 and 108.40 is: 150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.40 : 153.04 = 108.40 : x
  2. Step 2: Convert to fraction form
    110.40/153.04 = 108.40/x
  3. Step 3: Cross multiply
    110.40x = 153.04 × 108.40
  4. Step 4: Simplify right side
    110.40x = 16,589.54
  5. Step 5: Solve for x
    x = 16,589.54/110.40
  6. Step 6: Final answer
    x = 150.27

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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.