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Finding the Fourth Proportional to 274.92, 381.33 and 265.07

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Solution

The fourth proportional to 274.92, 381.33 and 265.07 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 381.33 = 265.07 : x
  2. Step 2: Convert to fraction form
    274.92/381.33 = 265.07/x
  3. Step 3: Cross multiply
    274.92x = 381.33 × 265.07
  4. Step 4: Simplify right side
    274.92x = 101,077.24
  5. Step 5: Solve for x
    x = 101,077.24/274.92
  6. Step 6: Final answer
    x = 367.67

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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.