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Finding the Fourth Proportional to 237.12, 326.43 and 222.27

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Solution

The fourth proportional to 237.12, 326.43 and 222.27 is: 305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 326.43 = 222.27 : x
  2. Step 2: Convert to fraction form
    237.12/326.43 = 222.27/x
  3. Step 3: Cross multiply
    237.12x = 326.43 × 222.27
  4. Step 4: Simplify right side
    237.12x = 72,555.60
  5. Step 5: Solve for x
    x = 72,555.60/237.12
  6. Step 6: Final answer
    x = 305.99

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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.