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Finding the Fourth Proportional to 272.24, 408.00 and 141.97

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Solution

The fourth proportional to 272.24, 408.00 and 141.97 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 408.00 = 141.97 : x
  2. Step 2: Convert to fraction form
    272.24/408.00 = 141.97/x
  3. Step 3: Cross multiply
    272.24x = 408.00 × 141.97
  4. Step 4: Simplify right side
    272.24x = 57,922.84
  5. Step 5: Solve for x
    x = 57,922.84/272.24
  6. Step 6: Final answer
    x = 212.76

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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.