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Finding the Fourth Proportional to 202.22, 303.33 and 161.90

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Solution

The fourth proportional to 202.22, 303.33 and 161.90 is: 242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 303.33 = 161.90 : x
  2. Step 2: Convert to fraction form
    202.22/303.33 = 161.90/x
  3. Step 3: Cross multiply
    202.22x = 303.33 × 161.90
  4. Step 4: Simplify right side
    202.22x = 49,107.61
  5. Step 5: Solve for x
    x = 49,107.61/202.22
  6. Step 6: Final answer
    x = 242.84

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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.