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Finding the Fourth Proportional to 198.15, 296.90 and 140.28

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Solution

The fourth proportional to 198.15, 296.90 and 140.28 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.15 : 296.90 = 140.28 : x
  2. Step 2: Convert to fraction form
    198.15/296.90 = 140.28/x
  3. Step 3: Cross multiply
    198.15x = 296.90 × 140.28
  4. Step 4: Simplify right side
    198.15x = 41,649.51
  5. Step 5: Solve for x
    x = 41,649.51/198.15
  6. Step 6: Final answer
    x = 210.20

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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.