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Finding the Fourth Proportional to 217.28, 300.13 and 167.19

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Solution

The fourth proportional to 217.28, 300.13 and 167.19 is: 230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 300.13 = 167.19 : x
  2. Step 2: Convert to fraction form
    217.28/300.13 = 167.19/x
  3. Step 3: Cross multiply
    217.28x = 300.13 × 167.19
  4. Step 4: Simplify right side
    217.28x = 50,178.73
  5. Step 5: Solve for x
    x = 50,178.73/217.28
  6. Step 6: Final answer
    x = 230.94

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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.