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Finding the Fourth Proportional to 451.37, 622.49 and 274.19

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Solution

The fourth proportional to 451.37, 622.49 and 274.19 is: 378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.37 : 622.49 = 274.19 : x
  2. Step 2: Convert to fraction form
    451.37/622.49 = 274.19/x
  3. Step 3: Cross multiply
    451.37x = 622.49 × 274.19
  4. Step 4: Simplify right side
    451.37x = 170,676.05
  5. Step 5: Solve for x
    x = 170,676.05/451.37
  6. Step 6: Final answer
    x = 378.13

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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.