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Finding the Fourth Proportional to 233.94, 324.46 and 231.21

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Solution

The fourth proportional to 233.94, 324.46 and 231.21 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.94 : 324.46 = 231.21 : x
  2. Step 2: Convert to fraction form
    233.94/324.46 = 231.21/x
  3. Step 3: Cross multiply
    233.94x = 324.46 × 231.21
  4. Step 4: Simplify right side
    233.94x = 75,018.40
  5. Step 5: Solve for x
    x = 75,018.40/233.94
  6. Step 6: Final answer
    x = 320.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.