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Finding the Fourth Proportional to 451.38, 622.84 and 276.68

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Solution

The fourth proportional to 451.38, 622.84 and 276.68 is: 381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.38 : 622.84 = 276.68 : x
  2. Step 2: Convert to fraction form
    451.38/622.84 = 276.68/x
  3. Step 3: Cross multiply
    451.38x = 622.84 × 276.68
  4. Step 4: Simplify right side
    451.38x = 172,327.37
  5. Step 5: Solve for x
    x = 172,327.37/451.38
  6. Step 6: Final answer
    x = 381.78

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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.