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Finding the Fourth Proportional to 490.84, 677.37 and 281.00

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Solution

The fourth proportional to 490.84, 677.37 and 281.00 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 677.37 = 281.00 : x
  2. Step 2: Convert to fraction form
    490.84/677.37 = 281.00/x
  3. Step 3: Cross multiply
    490.84x = 677.37 × 281.00
  4. Step 4: Simplify right side
    490.84x = 190,337.58
  5. Step 5: Solve for x
    x = 190,337.58/490.84
  6. Step 6: Final answer
    x = 387.78

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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.