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Finding the Fourth Proportional to 233.82, 321.74 and 226.98

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Solution

The fourth proportional to 233.82, 321.74 and 226.98 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 321.74 = 226.98 : x
  2. Step 2: Convert to fraction form
    233.82/321.74 = 226.98/x
  3. Step 3: Cross multiply
    233.82x = 321.74 × 226.98
  4. Step 4: Simplify right side
    233.82x = 73,028.55
  5. Step 5: Solve for x
    x = 73,028.55/233.82
  6. Step 6: Final answer
    x = 312.33

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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.