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Finding the Fourth Proportional to 219.64, 327.89 and 212.92

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Solution

The fourth proportional to 219.64, 327.89 and 212.92 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 327.89 = 212.92 : x
  2. Step 2: Convert to fraction form
    219.64/327.89 = 212.92/x
  3. Step 3: Cross multiply
    219.64x = 327.89 × 212.92
  4. Step 4: Simplify right side
    219.64x = 69,814.34
  5. Step 5: Solve for x
    x = 69,814.34/219.64
  6. Step 6: Final answer
    x = 317.86

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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.