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Finding the Fourth Proportional to 451.24, 622.69 and 274.21

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Solution

The fourth proportional to 451.24, 622.69 and 274.21 is: 378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.24 : 622.69 = 274.21 : x
  2. Step 2: Convert to fraction form
    451.24/622.69 = 274.21/x
  3. Step 3: Cross multiply
    451.24x = 622.69 × 274.21
  4. Step 4: Simplify right side
    451.24x = 170,745.58
  5. Step 5: Solve for x
    x = 170,745.58/451.24
  6. Step 6: Final answer
    x = 378.39

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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.