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Finding the Fourth Proportional to 268.47, 370.06 and 198.42

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Solution

The fourth proportional to 268.47, 370.06 and 198.42 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.47 : 370.06 = 198.42 : x
  2. Step 2: Convert to fraction form
    268.47/370.06 = 198.42/x
  3. Step 3: Cross multiply
    268.47x = 370.06 × 198.42
  4. Step 4: Simplify right side
    268.47x = 73,425.42
  5. Step 5: Solve for x
    x = 73,425.42/268.47
  6. Step 6: Final answer
    x = 273.50

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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.