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Finding the Fourth Proportional to 490.28, 675.83 and 365.75

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Solution

The fourth proportional to 490.28, 675.83 and 365.75 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 675.83 = 365.75 : x
  2. Step 2: Convert to fraction form
    490.28/675.83 = 365.75/x
  3. Step 3: Cross multiply
    490.28x = 675.83 × 365.75
  4. Step 4: Simplify right side
    490.28x = 247,184.82
  5. Step 5: Solve for x
    x = 247,184.82/490.28
  6. Step 6: Final answer
    x = 504.17

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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.