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Finding the Fourth Proportional to 235.78, 327.57 and 233.67

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Solution

The fourth proportional to 235.78, 327.57 and 233.67 is: 324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 327.57 = 233.67 : x
  2. Step 2: Convert to fraction form
    235.78/327.57 = 233.67/x
  3. Step 3: Cross multiply
    235.78x = 327.57 × 233.67
  4. Step 4: Simplify right side
    235.78x = 76,542.11
  5. Step 5: Solve for x
    x = 76,542.11/235.78
  6. Step 6: Final answer
    x = 324.63

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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.