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Finding the Fourth Proportional to 325.70, 486.52 and 233.67

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Solution

The fourth proportional to 325.70, 486.52 and 233.67 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.70 : 486.52 = 233.67 : x
  2. Step 2: Convert to fraction form
    325.70/486.52 = 233.67/x
  3. Step 3: Cross multiply
    325.70x = 486.52 × 233.67
  4. Step 4: Simplify right side
    325.70x = 113,684.54
  5. Step 5: Solve for x
    x = 113,684.54/325.70
  6. Step 6: Final answer
    x = 349.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.