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Finding the Fourth Proportional to 110.14, 164.90 and 89.78

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Solution

The fourth proportional to 110.14, 164.90 and 89.78 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 164.90 = 89.78 : x
  2. Step 2: Convert to fraction form
    110.14/164.90 = 89.78/x
  3. Step 3: Cross multiply
    110.14x = 164.90 × 89.78
  4. Step 4: Simplify right side
    110.14x = 14,804.72
  5. Step 5: Solve for x
    x = 14,804.72/110.14
  6. Step 6: Final answer
    x = 134.42

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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.