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Finding the Fourth Proportional to 110.09, 151.78 and 80.60

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Solution

The fourth proportional to 110.09, 151.78 and 80.60 is: 111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 151.78 = 80.60 : x
  2. Step 2: Convert to fraction form
    110.09/151.78 = 80.60/x
  3. Step 3: Cross multiply
    110.09x = 151.78 × 80.60
  4. Step 4: Simplify right side
    110.09x = 12,232.89
  5. Step 5: Solve for x
    x = 12,232.89/110.09
  6. Step 6: Final answer
    x = 111.11

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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.