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Finding the Fourth Proportional to 490.89, 677.49 and 281.10

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Solution

The fourth proportional to 490.89, 677.49 and 281.10 is: 387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 677.49 = 281.10 : x
  2. Step 2: Convert to fraction form
    490.89/677.49 = 281.10/x
  3. Step 3: Cross multiply
    490.89x = 677.49 × 281.10
  4. Step 4: Simplify right side
    490.89x = 190,442.44
  5. Step 5: Solve for x
    x = 190,442.44/490.89
  6. Step 6: Final answer
    x = 387.95

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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.