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Finding the Fourth Proportional to 272.28, 406.54 and 233.80

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Solution

The fourth proportional to 272.28, 406.54 and 233.80 is: 349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 406.54 = 233.80 : x
  2. Step 2: Convert to fraction form
    272.28/406.54 = 233.80/x
  3. Step 3: Cross multiply
    272.28x = 406.54 × 233.80
  4. Step 4: Simplify right side
    272.28x = 95,049.05
  5. Step 5: Solve for x
    x = 95,049.05/272.28
  6. Step 6: Final answer
    x = 349.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.