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Finding the Fourth Proportional to 219.71, 327.63 and 208.95

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Solution

The fourth proportional to 219.71, 327.63 and 208.95 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.71 : 327.63 = 208.95 : x
  2. Step 2: Convert to fraction form
    219.71/327.63 = 208.95/x
  3. Step 3: Cross multiply
    219.71x = 327.63 × 208.95
  4. Step 4: Simplify right side
    219.71x = 68,458.29
  5. Step 5: Solve for x
    x = 68,458.29/219.71
  6. Step 6: Final answer
    x = 311.58

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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.