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Finding the Fourth Proportional to 273.21, 376.82 and 162.61

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Solution

The fourth proportional to 273.21, 376.82 and 162.61 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.21 : 376.82 = 162.61 : x
  2. Step 2: Convert to fraction form
    273.21/376.82 = 162.61/x
  3. Step 3: Cross multiply
    273.21x = 376.82 × 162.61
  4. Step 4: Simplify right side
    273.21x = 61,273.55
  5. Step 5: Solve for x
    x = 61,273.55/273.21
  6. Step 6: Final answer
    x = 224.28

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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.