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Finding the Fourth Proportional to 286.92, 427.45 and 273.15

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Solution

The fourth proportional to 286.92, 427.45 and 273.15 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 427.45 = 273.15 : x
  2. Step 2: Convert to fraction form
    286.92/427.45 = 273.15/x
  3. Step 3: Cross multiply
    286.92x = 427.45 × 273.15
  4. Step 4: Simplify right side
    286.92x = 116,757.97
  5. Step 5: Solve for x
    x = 116,757.97/286.92
  6. Step 6: Final answer
    x = 406.94

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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.