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Finding the Fourth Proportional to 450.75, 622.01 and 254.25

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Solution

The fourth proportional to 450.75, 622.01 and 254.25 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 622.01 = 254.25 : x
  2. Step 2: Convert to fraction form
    450.75/622.01 = 254.25/x
  3. Step 3: Cross multiply
    450.75x = 622.01 × 254.25
  4. Step 4: Simplify right side
    450.75x = 158,144.77
  5. Step 5: Solve for x
    x = 158,144.77/450.75
  6. Step 6: Final answer
    x = 350.85

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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.