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Finding the Fourth Proportional to 450.74, 622.05 and 254.18

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Solution

The fourth proportional to 450.74, 622.05 and 254.18 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.74 : 622.05 = 254.18 : x
  2. Step 2: Convert to fraction form
    450.74/622.05 = 254.18/x
  3. Step 3: Cross multiply
    450.74x = 622.05 × 254.18
  4. Step 4: Simplify right side
    450.74x = 158,112.67
  5. Step 5: Solve for x
    x = 158,112.67/450.74
  6. Step 6: Final answer
    x = 350.78

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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.