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Finding the Fourth Proportional to 72.41, 108.67 and 26.80

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Solution

The fourth proportional to 72.41, 108.67 and 26.80 is: 40.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.41 : 108.67 = 26.80 : x
  2. Step 2: Convert to fraction form
    72.41/108.67 = 26.80/x
  3. Step 3: Cross multiply
    72.41x = 108.67 × 26.80
  4. Step 4: Simplify right side
    72.41x = 2,912.29
  5. Step 5: Solve for x
    x = 2,912.29/72.41
  6. Step 6: Final answer
    x = 40.22

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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.