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Finding the Fourth Proportional to 273.87, 377.67 and 208.38

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Solution

The fourth proportional to 273.87, 377.67 and 208.38 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.87 : 377.67 = 208.38 : x
  2. Step 2: Convert to fraction form
    273.87/377.67 = 208.38/x
  3. Step 3: Cross multiply
    273.87x = 377.67 × 208.38
  4. Step 4: Simplify right side
    273.87x = 78,698.87
  5. Step 5: Solve for x
    x = 78,698.87/273.87
  6. Step 6: Final answer
    x = 287.36

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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.