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Finding the Fourth Proportional to 219.37, 326.84 and 209.05

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Solution

The fourth proportional to 219.37, 326.84 and 209.05 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.37 : 326.84 = 209.05 : x
  2. Step 2: Convert to fraction form
    219.37/326.84 = 209.05/x
  3. Step 3: Cross multiply
    219.37x = 326.84 × 209.05
  4. Step 4: Simplify right side
    219.37x = 68,325.90
  5. Step 5: Solve for x
    x = 68,325.90/219.37
  6. Step 6: Final answer
    x = 311.46

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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.