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Finding the Fourth Proportional to 273.86, 378.09 and 188.83

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Solution

The fourth proportional to 273.86, 378.09 and 188.83 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 378.09 = 188.83 : x
  2. Step 2: Convert to fraction form
    273.86/378.09 = 188.83/x
  3. Step 3: Cross multiply
    273.86x = 378.09 × 188.83
  4. Step 4: Simplify right side
    273.86x = 71,394.73
  5. Step 5: Solve for x
    x = 71,394.73/273.86
  6. Step 6: Final answer
    x = 260.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.