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Finding the Fourth Proportional to 110.96, 153.11 and 101.78

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Solution

The fourth proportional to 110.96, 153.11 and 101.78 is: 140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.96 : 153.11 = 101.78 : x
  2. Step 2: Convert to fraction form
    110.96/153.11 = 101.78/x
  3. Step 3: Cross multiply
    110.96x = 153.11 × 101.78
  4. Step 4: Simplify right side
    110.96x = 15,583.02
  5. Step 5: Solve for x
    x = 15,583.02/110.96
  6. Step 6: Final answer
    x = 140.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.