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Finding the Fourth Proportional to 490.71, 676.99 and 304.08

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Solution

The fourth proportional to 490.71, 676.99 and 304.08 is: 419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 676.99 = 304.08 : x
  2. Step 2: Convert to fraction form
    490.71/676.99 = 304.08/x
  3. Step 3: Cross multiply
    490.71x = 676.99 × 304.08
  4. Step 4: Simplify right side
    490.71x = 205,859.12
  5. Step 5: Solve for x
    x = 205,859.12/490.71
  6. Step 6: Final answer
    x = 419.51

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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.