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Finding the Fourth Proportional to 490.56, 677.17 and 294.03

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Solution

The fourth proportional to 490.56, 677.17 and 294.03 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 677.17 = 294.03 : x
  2. Step 2: Convert to fraction form
    490.56/677.17 = 294.03/x
  3. Step 3: Cross multiply
    490.56x = 677.17 × 294.03
  4. Step 4: Simplify right side
    490.56x = 199,108.30
  5. Step 5: Solve for x
    x = 199,108.30/490.56
  6. Step 6: Final answer
    x = 405.88

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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.