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Finding the Fourth Proportional to 300.89, 411.38 and 289.55

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Solution

The fourth proportional to 300.89, 411.38 and 289.55 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.89 : 411.38 = 289.55 : x
  2. Step 2: Convert to fraction form
    300.89/411.38 = 289.55/x
  3. Step 3: Cross multiply
    300.89x = 411.38 × 289.55
  4. Step 4: Simplify right side
    300.89x = 119,111.57
  5. Step 5: Solve for x
    x = 119,111.57/300.89
  6. Step 6: Final answer
    x = 395.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.