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Finding the Fourth Proportional to 490.00, 676.54 and 303.57

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Solution

The fourth proportional to 490.00, 676.54 and 303.57 is: 419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.00 : 676.54 = 303.57 : x
  2. Step 2: Convert to fraction form
    490.00/676.54 = 303.57/x
  3. Step 3: Cross multiply
    490.00x = 676.54 × 303.57
  4. Step 4: Simplify right side
    490.00x = 205,372.35
  5. Step 5: Solve for x
    x = 205,372.35/490.00
  6. Step 6: Final answer
    x = 419.13

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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.