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Finding the Fourth Proportional to 217.46, 324.28 and 193.16

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Solution

The fourth proportional to 217.46, 324.28 and 193.16 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 324.28 = 193.16 : x
  2. Step 2: Convert to fraction form
    217.46/324.28 = 193.16/x
  3. Step 3: Cross multiply
    217.46x = 324.28 × 193.16
  4. Step 4: Simplify right side
    217.46x = 62,637.92
  5. Step 5: Solve for x
    x = 62,637.92/217.46
  6. Step 6: Final answer
    x = 288.04

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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.