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Finding the Fourth Proportional to 919.41, 1,379.10 and 226.08

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Solution

The fourth proportional to 919.41, 1,379.10 and 226.08 is: 339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.41 : 1,379.10 = 226.08 : x
  2. Step 2: Convert to fraction form
    919.41/1,379.10 = 226.08/x
  3. Step 3: Cross multiply
    919.41x = 1,379.10 × 226.08
  4. Step 4: Simplify right side
    919.41x = 311,786.93
  5. Step 5: Solve for x
    x = 311,786.93/919.41
  6. Step 6: Final answer
    x = 339.12

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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.