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Finding the Fourth Proportional to 300.62, 411.04 and 289.28

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Solution

The fourth proportional to 300.62, 411.04 and 289.28 is: 395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 411.04 = 289.28 : x
  2. Step 2: Convert to fraction form
    300.62/411.04 = 289.28/x
  3. Step 3: Cross multiply
    300.62x = 411.04 × 289.28
  4. Step 4: Simplify right side
    300.62x = 118,905.65
  5. Step 5: Solve for x
    x = 118,905.65/300.62
  6. Step 6: Final answer
    x = 395.53

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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.