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Finding the Fourth Proportional to 226.04, 311.36 and 189.18

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Solution

The fourth proportional to 226.04, 311.36 and 189.18 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.04 : 311.36 = 189.18 : x
  2. Step 2: Convert to fraction form
    226.04/311.36 = 189.18/x
  3. Step 3: Cross multiply
    226.04x = 311.36 × 189.18
  4. Step 4: Simplify right side
    226.04x = 58,902.14
  5. Step 5: Solve for x
    x = 58,902.14/226.04
  6. Step 6: Final answer
    x = 260.59

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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.