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Finding the Fourth Proportional to 268.69, 370.63 and 198.73

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Solution

The fourth proportional to 268.69, 370.63 and 198.73 is: 274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.69 : 370.63 = 198.73 : x
  2. Step 2: Convert to fraction form
    268.69/370.63 = 198.73/x
  3. Step 3: Cross multiply
    268.69x = 370.63 × 198.73
  4. Step 4: Simplify right side
    268.69x = 73,652.45
  5. Step 5: Solve for x
    x = 73,652.45/268.69
  6. Step 6: Final answer
    x = 274.12

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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.