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Finding the Fourth Proportional to 217.20, 300 and 189.92

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Solution

The fourth proportional to 217.20, 300 and 189.92 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.20 : 300 = 189.92 : x
  2. Step 2: Convert to fraction form
    217.20/300 = 189.92/x
  3. Step 3: Cross multiply
    217.20x = 300 × 189.92
  4. Step 4: Simplify right side
    217.20x = 56,976.00
  5. Step 5: Solve for x
    x = 56,976.00/217.20
  6. Step 6: Final answer
    x = 262.32

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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.