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Finding the Fourth Proportional to 490.66, 677.28 and 294.28

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Solution

The fourth proportional to 490.66, 677.28 and 294.28 is: 406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.66 : 677.28 = 294.28 : x
  2. Step 2: Convert to fraction form
    490.66/677.28 = 294.28/x
  3. Step 3: Cross multiply
    490.66x = 677.28 × 294.28
  4. Step 4: Simplify right side
    490.66x = 199,309.96
  5. Step 5: Solve for x
    x = 199,309.96/490.66
  6. Step 6: Final answer
    x = 406.21

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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.