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Finding the Fourth Proportional to 490.58, 677.22 and 304.33

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Solution

The fourth proportional to 490.58, 677.22 and 304.33 is: 420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.58 : 677.22 = 304.33 : x
  2. Step 2: Convert to fraction form
    490.58/677.22 = 304.33/x
  3. Step 3: Cross multiply
    490.58x = 677.22 × 304.33
  4. Step 4: Simplify right side
    490.58x = 206,098.36
  5. Step 5: Solve for x
    x = 206,098.36/490.58
  6. Step 6: Final answer
    x = 420.11

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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.