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Finding the Fourth Proportional to 237.42, 327.18 and 195.69

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Solution

The fourth proportional to 237.42, 327.18 and 195.69 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 327.18 = 195.69 : x
  2. Step 2: Convert to fraction form
    237.42/327.18 = 195.69/x
  3. Step 3: Cross multiply
    237.42x = 327.18 × 195.69
  4. Step 4: Simplify right side
    237.42x = 64,025.85
  5. Step 5: Solve for x
    x = 64,025.85/237.42
  6. Step 6: Final answer
    x = 269.67

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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.