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Finding the Fourth Proportional to 272.93, 408.78 and 238.91

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Solution

The fourth proportional to 272.93, 408.78 and 238.91 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.93 : 408.78 = 238.91 : x
  2. Step 2: Convert to fraction form
    272.93/408.78 = 238.91/x
  3. Step 3: Cross multiply
    272.93x = 408.78 × 238.91
  4. Step 4: Simplify right side
    272.93x = 97,659.59
  5. Step 5: Solve for x
    x = 97,659.59/272.93
  6. Step 6: Final answer
    x = 357.83

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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.