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Finding the Fourth Proportional to 303.73, 419.15 and 198.88

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Solution

The fourth proportional to 303.73, 419.15 and 198.88 is: 274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.73 : 419.15 = 198.88 : x
  2. Step 2: Convert to fraction form
    303.73/419.15 = 198.88/x
  3. Step 3: Cross multiply
    303.73x = 419.15 × 198.88
  4. Step 4: Simplify right side
    303.73x = 83,362.36
  5. Step 5: Solve for x
    x = 83,362.36/303.73
  6. Step 6: Final answer
    x = 274.46

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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.