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Finding the Fourth Proportional to 273.36, 379.10 and 263.64

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Solution

The fourth proportional to 273.36, 379.10 and 263.64 is: 365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.36 : 379.10 = 263.64 : x
  2. Step 2: Convert to fraction form
    273.36/379.10 = 263.64/x
  3. Step 3: Cross multiply
    273.36x = 379.10 × 263.64
  4. Step 4: Simplify right side
    273.36x = 99,945.92
  5. Step 5: Solve for x
    x = 99,945.92/273.36
  6. Step 6: Final answer
    x = 365.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.