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Finding the Fourth Proportional to 198.06, 297.32 and 157.97

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Solution

The fourth proportional to 198.06, 297.32 and 157.97 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 297.32 = 157.97 : x
  2. Step 2: Convert to fraction form
    198.06/297.32 = 157.97/x
  3. Step 3: Cross multiply
    198.06x = 297.32 × 157.97
  4. Step 4: Simplify right side
    198.06x = 46,965.36
  5. Step 5: Solve for x
    x = 46,965.36/198.06
  6. Step 6: Final answer
    x = 237.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.