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Finding the Fourth Proportional to 300.52, 414.77 and 189.96

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Solution

The fourth proportional to 300.52, 414.77 and 189.96 is: 262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.52 : 414.77 = 189.96 : x
  2. Step 2: Convert to fraction form
    300.52/414.77 = 189.96/x
  3. Step 3: Cross multiply
    300.52x = 414.77 × 189.96
  4. Step 4: Simplify right side
    300.52x = 78,789.71
  5. Step 5: Solve for x
    x = 78,789.71/300.52
  6. Step 6: Final answer
    x = 262.18

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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.