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Finding the Fourth Proportional to 274.11, 380.15 and 264.39

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Solution

The fourth proportional to 274.11, 380.15 and 264.39 is: 366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.11 : 380.15 = 264.39 : x
  2. Step 2: Convert to fraction form
    274.11/380.15 = 264.39/x
  3. Step 3: Cross multiply
    274.11x = 380.15 × 264.39
  4. Step 4: Simplify right side
    274.11x = 100,508.52
  5. Step 5: Solve for x
    x = 100,508.52/274.11
  6. Step 6: Final answer
    x = 366.67

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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.