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Finding the Fourth Proportional to 274.26, 411.46 and 109.74

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Solution

The fourth proportional to 274.26, 411.46 and 109.74 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.26 : 411.46 = 109.74 : x
  2. Step 2: Convert to fraction form
    274.26/411.46 = 109.74/x
  3. Step 3: Cross multiply
    274.26x = 411.46 × 109.74
  4. Step 4: Simplify right side
    274.26x = 45,153.62
  5. Step 5: Solve for x
    x = 45,153.62/274.26
  6. Step 6: Final answer
    x = 164.64

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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.