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Finding the Fourth Proportional to 490.66, 677.06 and 280.88

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Solution

The fourth proportional to 490.66, 677.06 and 280.88 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.66 : 677.06 = 280.88 : x
  2. Step 2: Convert to fraction form
    490.66/677.06 = 280.88/x
  3. Step 3: Cross multiply
    490.66x = 677.06 × 280.88
  4. Step 4: Simplify right side
    490.66x = 190,172.61
  5. Step 5: Solve for x
    x = 190,172.61/490.66
  6. Step 6: Final answer
    x = 387.59

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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.