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Finding the Fourth Proportional to 273.11, 376.85 and 180.03

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Solution

The fourth proportional to 273.11, 376.85 and 180.03 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.11 : 376.85 = 180.03 : x
  2. Step 2: Convert to fraction form
    273.11/376.85 = 180.03/x
  3. Step 3: Cross multiply
    273.11x = 376.85 × 180.03
  4. Step 4: Simplify right side
    273.11x = 67,844.31
  5. Step 5: Solve for x
    x = 67,844.31/273.11
  6. Step 6: Final answer
    x = 248.42

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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.