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Finding the Fourth Proportional to 490.98, 677.46 and 281.12

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Solution

The fourth proportional to 490.98, 677.46 and 281.12 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 677.46 = 281.12 : x
  2. Step 2: Convert to fraction form
    490.98/677.46 = 281.12/x
  3. Step 3: Cross multiply
    490.98x = 677.46 × 281.12
  4. Step 4: Simplify right side
    490.98x = 190,447.56
  5. Step 5: Solve for x
    x = 190,447.56/490.98
  6. Step 6: Final answer
    x = 387.89

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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.