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Finding the Fourth Proportional to 110.79, 164.86 and 110.61

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Solution

The fourth proportional to 110.79, 164.86 and 110.61 is: 164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.79 : 164.86 = 110.61 : x
  2. Step 2: Convert to fraction form
    110.79/164.86 = 110.61/x
  3. Step 3: Cross multiply
    110.79x = 164.86 × 110.61
  4. Step 4: Simplify right side
    110.79x = 18,234.89
  5. Step 5: Solve for x
    x = 18,234.89/110.79
  6. Step 6: Final answer
    x = 164.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.