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Finding the Fourth Proportional to 233.63, 321.99 and 226.97

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Solution

The fourth proportional to 233.63, 321.99 and 226.97 is: 312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 321.99 = 226.97 : x
  2. Step 2: Convert to fraction form
    233.63/321.99 = 226.97/x
  3. Step 3: Cross multiply
    233.63x = 321.99 × 226.97
  4. Step 4: Simplify right side
    233.63x = 73,082.07
  5. Step 5: Solve for x
    x = 73,082.07/233.63
  6. Step 6: Final answer
    x = 312.81

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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.