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Finding the Fourth Proportional to 217.28, 299.53 and 192.71

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Solution

The fourth proportional to 217.28, 299.53 and 192.71 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 299.53 = 192.71 : x
  2. Step 2: Convert to fraction form
    217.28/299.53 = 192.71/x
  3. Step 3: Cross multiply
    217.28x = 299.53 × 192.71
  4. Step 4: Simplify right side
    217.28x = 57,723.42
  5. Step 5: Solve for x
    x = 57,723.42/217.28
  6. Step 6: Final answer
    x = 265.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.