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Finding the Fourth Proportional to 110.56, 166.14 and 99.28

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Solution

The fourth proportional to 110.56, 166.14 and 99.28 is: 149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 166.14 = 99.28 : x
  2. Step 2: Convert to fraction form
    110.56/166.14 = 99.28/x
  3. Step 3: Cross multiply
    110.56x = 166.14 × 99.28
  4. Step 4: Simplify right side
    110.56x = 16,494.38
  5. Step 5: Solve for x
    x = 16,494.38/110.56
  6. Step 6: Final answer
    x = 149.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.