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Finding the Fourth Proportional to 217.86, 327.12 and 183.90

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Solution

The fourth proportional to 217.86, 327.12 and 183.90 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 327.12 = 183.90 : x
  2. Step 2: Convert to fraction form
    217.86/327.12 = 183.90/x
  3. Step 3: Cross multiply
    217.86x = 327.12 × 183.90
  4. Step 4: Simplify right side
    217.86x = 60,157.37
  5. Step 5: Solve for x
    x = 60,157.37/217.86
  6. Step 6: Final answer
    x = 276.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.