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Finding the Fourth Proportional to 273.26, 376.81 and 179.98

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Solution

The fourth proportional to 273.26, 376.81 and 179.98 is: 248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.26 : 376.81 = 179.98 : x
  2. Step 2: Convert to fraction form
    273.26/376.81 = 179.98/x
  3. Step 3: Cross multiply
    273.26x = 376.81 × 179.98
  4. Step 4: Simplify right side
    273.26x = 67,816.87
  5. Step 5: Solve for x
    x = 67,816.87/273.26
  6. Step 6: Final answer
    x = 248.17

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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.