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Finding the Fourth Proportional to 274.77, 411.94 and 92.11

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Solution

The fourth proportional to 274.77, 411.94 and 92.11 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.77 : 411.94 = 92.11 : x
  2. Step 2: Convert to fraction form
    274.77/411.94 = 92.11/x
  3. Step 3: Cross multiply
    274.77x = 411.94 × 92.11
  4. Step 4: Simplify right side
    274.77x = 37,943.79
  5. Step 5: Solve for x
    x = 37,943.79/274.77
  6. Step 6: Final answer
    x = 138.09

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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.