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Finding the Fourth Proportional to 110.89, 166.39 and 56.78

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Solution

The fourth proportional to 110.89, 166.39 and 56.78 is: 85.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.89 : 166.39 = 56.78 : x
  2. Step 2: Convert to fraction form
    110.89/166.39 = 56.78/x
  3. Step 3: Cross multiply
    110.89x = 166.39 × 56.78
  4. Step 4: Simplify right side
    110.89x = 9,447.62
  5. Step 5: Solve for x
    x = 9,447.62/110.89
  6. Step 6: Final answer
    x = 85.20

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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.