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Finding the Fourth Proportional to 273.88, 377.84 and 272.66

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Solution

The fourth proportional to 273.88, 377.84 and 272.66 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.88 : 377.84 = 272.66 : x
  2. Step 2: Convert to fraction form
    273.88/377.84 = 272.66/x
  3. Step 3: Cross multiply
    273.88x = 377.84 × 272.66
  4. Step 4: Simplify right side
    273.88x = 103,021.85
  5. Step 5: Solve for x
    x = 103,021.85/273.88
  6. Step 6: Final answer
    x = 376.16

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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.