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Finding the Fourth Proportional to 300.54, 412.28 and 281.90

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Solution

The fourth proportional to 300.54, 412.28 and 281.90 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 412.28 = 281.90 : x
  2. Step 2: Convert to fraction form
    300.54/412.28 = 281.90/x
  3. Step 3: Cross multiply
    300.54x = 412.28 × 281.90
  4. Step 4: Simplify right side
    300.54x = 116,221.73
  5. Step 5: Solve for x
    x = 116,221.73/300.54
  6. Step 6: Final answer
    x = 386.71

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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.