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Finding the Fourth Proportional to 231.80, 318.94 and 226.33

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Solution

The fourth proportional to 231.80, 318.94 and 226.33 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.80 : 318.94 = 226.33 : x
  2. Step 2: Convert to fraction form
    231.80/318.94 = 226.33/x
  3. Step 3: Cross multiply
    231.80x = 318.94 × 226.33
  4. Step 4: Simplify right side
    231.80x = 72,184.33
  5. Step 5: Solve for x
    x = 72,184.33/231.80
  6. Step 6: Final answer
    x = 311.41

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Why These Related Problems?

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