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Finding the Fourth Proportional to 300.78, 451.38 and 214.12

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Solution

The fourth proportional to 300.78, 451.38 and 214.12 is: 321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 451.38 = 214.12 : x
  2. Step 2: Convert to fraction form
    300.78/451.38 = 214.12/x
  3. Step 3: Cross multiply
    300.78x = 451.38 × 214.12
  4. Step 4: Simplify right side
    300.78x = 96,649.49
  5. Step 5: Solve for x
    x = 96,649.49/300.78
  6. Step 6: Final answer
    x = 321.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.