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Finding the Fourth Proportional to 275.94, 414.09 and 131.67

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Solution

The fourth proportional to 275.94, 414.09 and 131.67 is: 197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 414.09 = 131.67 : x
  2. Step 2: Convert to fraction form
    275.94/414.09 = 131.67/x
  3. Step 3: Cross multiply
    275.94x = 414.09 × 131.67
  4. Step 4: Simplify right side
    275.94x = 54,523.23
  5. Step 5: Solve for x
    x = 54,523.23/275.94
  6. Step 6: Final answer
    x = 197.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.