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Finding the Fourth Proportional to 217.44, 324.48 and 193.20

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Solution

The fourth proportional to 217.44, 324.48 and 193.20 is: 288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 324.48 = 193.20 : x
  2. Step 2: Convert to fraction form
    217.44/324.48 = 193.20/x
  3. Step 3: Cross multiply
    217.44x = 324.48 × 193.20
  4. Step 4: Simplify right side
    217.44x = 62,689.54
  5. Step 5: Solve for x
    x = 62,689.54/217.44
  6. Step 6: Final answer
    x = 288.31

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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.