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Finding the Fourth Proportional to 217.44, 298.38 and 203.04

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Solution

The fourth proportional to 217.44, 298.38 and 203.04 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 298.38 = 203.04 : x
  2. Step 2: Convert to fraction form
    217.44/298.38 = 203.04/x
  3. Step 3: Cross multiply
    217.44x = 298.38 × 203.04
  4. Step 4: Simplify right side
    217.44x = 60,583.08
  5. Step 5: Solve for x
    x = 60,583.08/217.44
  6. Step 6: Final answer
    x = 278.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.