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Finding the Fourth Proportional to 274.75, 411.93 and 137.68

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Solution

The fourth proportional to 274.75, 411.93 and 137.68 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.75 : 411.93 = 137.68 : x
  2. Step 2: Convert to fraction form
    274.75/411.93 = 137.68/x
  3. Step 3: Cross multiply
    274.75x = 411.93 × 137.68
  4. Step 4: Simplify right side
    274.75x = 56,714.52
  5. Step 5: Solve for x
    x = 56,714.52/274.75
  6. Step 6: Final answer
    x = 206.42

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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.