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Finding the Fourth Proportional to 273.70, 376.76 and 208.18

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Solution

The fourth proportional to 273.70, 376.76 and 208.18 is: 286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 376.76 = 208.18 : x
  2. Step 2: Convert to fraction form
    273.70/376.76 = 208.18/x
  3. Step 3: Cross multiply
    273.70x = 376.76 × 208.18
  4. Step 4: Simplify right side
    273.70x = 78,433.90
  5. Step 5: Solve for x
    x = 78,433.90/273.70
  6. Step 6: Final answer
    x = 286.57

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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.