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Finding the Fourth Proportional to 308.76, 425.90 and 198.06

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Solution

The fourth proportional to 308.76, 425.90 and 198.06 is: 273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.76 : 425.90 = 198.06 : x
  2. Step 2: Convert to fraction form
    308.76/425.90 = 198.06/x
  3. Step 3: Cross multiply
    308.76x = 425.90 × 198.06
  4. Step 4: Simplify right side
    308.76x = 84,353.75
  5. Step 5: Solve for x
    x = 84,353.75/308.76
  6. Step 6: Final answer
    x = 273.20

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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.