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Finding the Fourth Proportional to 274.12, 380.05 and 265.12

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Solution

The fourth proportional to 274.12, 380.05 and 265.12 is: 367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 380.05 = 265.12 : x
  2. Step 2: Convert to fraction form
    274.12/380.05 = 265.12/x
  3. Step 3: Cross multiply
    274.12x = 380.05 × 265.12
  4. Step 4: Simplify right side
    274.12x = 100,758.86
  5. Step 5: Solve for x
    x = 100,758.86/274.12
  6. Step 6: Final answer
    x = 367.57

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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.