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Finding the Fourth Proportional to 198.01, 298.37 and 164.52

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Solution

The fourth proportional to 198.01, 298.37 and 164.52 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 298.37 = 164.52 : x
  2. Step 2: Convert to fraction form
    198.01/298.37 = 164.52/x
  3. Step 3: Cross multiply
    198.01x = 298.37 × 164.52
  4. Step 4: Simplify right side
    198.01x = 49,087.83
  5. Step 5: Solve for x
    x = 49,087.83/198.01
  6. Step 6: Final answer
    x = 247.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.