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Finding the Fourth Proportional to 218.22, 300.83 and 193.65

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Solution

The fourth proportional to 218.22, 300.83 and 193.65 is: 266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.22 : 300.83 = 193.65 : x
  2. Step 2: Convert to fraction form
    218.22/300.83 = 193.65/x
  3. Step 3: Cross multiply
    218.22x = 300.83 × 193.65
  4. Step 4: Simplify right side
    218.22x = 58,254.76
  5. Step 5: Solve for x
    x = 58,254.76/218.22
  6. Step 6: Final answer
    x = 266.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.