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Finding the Fourth Proportional to 490.45, 677.27 and 365.90

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Solution

The fourth proportional to 490.45, 677.27 and 365.90 is: 505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.45 : 677.27 = 365.90 : x
  2. Step 2: Convert to fraction form
    490.45/677.27 = 365.90/x
  3. Step 3: Cross multiply
    490.45x = 677.27 × 365.90
  4. Step 4: Simplify right side
    490.45x = 247,809.95
  5. Step 5: Solve for x
    x = 247,809.95/490.45
  6. Step 6: Final answer
    x = 505.27

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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.