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Finding the Fourth Proportional to 198.56, 297.52 and 144.32

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Solution

The fourth proportional to 198.56, 297.52 and 144.32 is: 216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 297.52 = 144.32 : x
  2. Step 2: Convert to fraction form
    198.56/297.52 = 144.32/x
  3. Step 3: Cross multiply
    198.56x = 297.52 × 144.32
  4. Step 4: Simplify right side
    198.56x = 42,938.09
  5. Step 5: Solve for x
    x = 42,938.09/198.56
  6. Step 6: Final answer
    x = 216.25

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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.