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Finding the Fourth Proportional to 219.44, 327.35 and 212.81

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Solution

The fourth proportional to 219.44, 327.35 and 212.81 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.44 : 327.35 = 212.81 : x
  2. Step 2: Convert to fraction form
    219.44/327.35 = 212.81/x
  3. Step 3: Cross multiply
    219.44x = 327.35 × 212.81
  4. Step 4: Simplify right side
    219.44x = 69,662.25
  5. Step 5: Solve for x
    x = 69,662.25/219.44
  6. Step 6: Final answer
    x = 317.45

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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.