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Finding the Fourth Proportional to 198.48, 297.28 and 144.25

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Solution

The fourth proportional to 198.48, 297.28 and 144.25 is: 216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 297.28 = 144.25 : x
  2. Step 2: Convert to fraction form
    198.48/297.28 = 144.25/x
  3. Step 3: Cross multiply
    198.48x = 297.28 × 144.25
  4. Step 4: Simplify right side
    198.48x = 42,882.64
  5. Step 5: Solve for x
    x = 42,882.64/198.48
  6. Step 6: Final answer
    x = 216.06

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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.