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Finding the Fourth Proportional to 217.27, 298.24 and 192.16

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Solution

The fourth proportional to 217.27, 298.24 and 192.16 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.27 : 298.24 = 192.16 : x
  2. Step 2: Convert to fraction form
    217.27/298.24 = 192.16/x
  3. Step 3: Cross multiply
    217.27x = 298.24 × 192.16
  4. Step 4: Simplify right side
    217.27x = 57,309.80
  5. Step 5: Solve for x
    x = 57,309.80/217.27
  6. Step 6: Final answer
    x = 263.77

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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.