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Finding the Fourth Proportional to 219.37, 327.05 and 213.76

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Solution

The fourth proportional to 219.37, 327.05 and 213.76 is: 318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.37 : 327.05 = 213.76 : x
  2. Step 2: Convert to fraction form
    219.37/327.05 = 213.76/x
  3. Step 3: Cross multiply
    219.37x = 327.05 × 213.76
  4. Step 4: Simplify right side
    219.37x = 69,908.57
  5. Step 5: Solve for x
    x = 69,908.57/219.37
  6. Step 6: Final answer
    x = 318.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.