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Finding the Fourth Proportional to 490.76, 677.50 and 334.22

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Solution

The fourth proportional to 490.76, 677.50 and 334.22 is: 461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 677.50 = 334.22 : x
  2. Step 2: Convert to fraction form
    490.76/677.50 = 334.22/x
  3. Step 3: Cross multiply
    490.76x = 677.50 × 334.22
  4. Step 4: Simplify right side
    490.76x = 226,434.05
  5. Step 5: Solve for x
    x = 226,434.05/490.76
  6. Step 6: Final answer
    x = 461.39

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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.