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Finding the Fourth Proportional to 217.78, 327.97 and 183.76

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Solution

The fourth proportional to 217.78, 327.97 and 183.76 is: 276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.78 : 327.97 = 183.76 : x
  2. Step 2: Convert to fraction form
    217.78/327.97 = 183.76/x
  3. Step 3: Cross multiply
    217.78x = 327.97 × 183.76
  4. Step 4: Simplify right side
    217.78x = 60,267.77
  5. Step 5: Solve for x
    x = 60,267.77/217.78
  6. Step 6: Final answer
    x = 276.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.