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Finding the Fourth Proportional to 268.33, 370.07 and 198.49

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Solution

The fourth proportional to 268.33, 370.07 and 198.49 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.33 : 370.07 = 198.49 : x
  2. Step 2: Convert to fraction form
    268.33/370.07 = 198.49/x
  3. Step 3: Cross multiply
    268.33x = 370.07 × 198.49
  4. Step 4: Simplify right side
    268.33x = 73,454.20
  5. Step 5: Solve for x
    x = 73,454.20/268.33
  6. Step 6: Final answer
    x = 273.75

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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.