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Finding the Fourth Proportional to 272.18, 408.23 and 79.80

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Solution

The fourth proportional to 272.18, 408.23 and 79.80 is: 119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.18 : 408.23 = 79.80 : x
  2. Step 2: Convert to fraction form
    272.18/408.23 = 79.80/x
  3. Step 3: Cross multiply
    272.18x = 408.23 × 79.80
  4. Step 4: Simplify right side
    272.18x = 32,576.95
  5. Step 5: Solve for x
    x = 32,576.95/272.18
  6. Step 6: Final answer
    x = 119.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.