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Finding the Fourth Proportional to 300.30, 414.66 and 189.90

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Solution

The fourth proportional to 300.30, 414.66 and 189.90 is: 262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 414.66 = 189.90 : x
  2. Step 2: Convert to fraction form
    300.30/414.66 = 189.90/x
  3. Step 3: Cross multiply
    300.30x = 414.66 × 189.90
  4. Step 4: Simplify right side
    300.30x = 78,743.93
  5. Step 5: Solve for x
    x = 78,743.93/300.30
  6. Step 6: Final answer
    x = 262.22

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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.