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Finding the Fourth Proportional to 198.74, 273.75 and 155.00

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Solution

The fourth proportional to 198.74, 273.75 and 155.00 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 273.75 = 155.00 : x
  2. Step 2: Convert to fraction form
    198.74/273.75 = 155.00/x
  3. Step 3: Cross multiply
    198.74x = 273.75 × 155.00
  4. Step 4: Simplify right side
    198.74x = 42,429.88
  5. Step 5: Solve for x
    x = 42,429.88/198.74
  6. Step 6: Final answer
    x = 213.50

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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.