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Finding the Fourth Proportional to 272.75, 408.23 and 180.23

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Solution

The fourth proportional to 272.75, 408.23 and 180.23 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 408.23 = 180.23 : x
  2. Step 2: Convert to fraction form
    272.75/408.23 = 180.23/x
  3. Step 3: Cross multiply
    272.75x = 408.23 × 180.23
  4. Step 4: Simplify right side
    272.75x = 73,574.72
  5. Step 5: Solve for x
    x = 73,574.72/272.75
  6. Step 6: Final answer
    x = 269.75

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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.