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Finding the Fourth Proportional to 273.96, 378.12 and 186.66

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Solution

The fourth proportional to 273.96, 378.12 and 186.66 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 378.12 = 186.66 : x
  2. Step 2: Convert to fraction form
    273.96/378.12 = 186.66/x
  3. Step 3: Cross multiply
    273.96x = 378.12 × 186.66
  4. Step 4: Simplify right side
    273.96x = 70,579.88
  5. Step 5: Solve for x
    x = 70,579.88/273.96
  6. Step 6: Final answer
    x = 257.63

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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.