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Finding the Fourth Proportional to 202.25, 303.71 and 196.10

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Solution

The fourth proportional to 202.25, 303.71 and 196.10 is: 294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.25 : 303.71 = 196.10 : x
  2. Step 2: Convert to fraction form
    202.25/303.71 = 196.10/x
  3. Step 3: Cross multiply
    202.25x = 303.71 × 196.10
  4. Step 4: Simplify right side
    202.25x = 59,557.53
  5. Step 5: Solve for x
    x = 59,557.53/202.25
  6. Step 6: Final answer
    x = 294.47

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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.