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Finding the Fourth Proportional to 273.49, 376.95 and 197.85

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Solution

The fourth proportional to 273.49, 376.95 and 197.85 is: 272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.49 : 376.95 = 197.85 : x
  2. Step 2: Convert to fraction form
    273.49/376.95 = 197.85/x
  3. Step 3: Cross multiply
    273.49x = 376.95 × 197.85
  4. Step 4: Simplify right side
    273.49x = 74,579.56
  5. Step 5: Solve for x
    x = 74,579.56/273.49
  6. Step 6: Final answer
    x = 272.70

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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.