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Finding the Fourth Proportional to 274.68, 411.94 and 137.64

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Solution

The fourth proportional to 274.68, 411.94 and 137.64 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.68 : 411.94 = 137.64 : x
  2. Step 2: Convert to fraction form
    274.68/411.94 = 137.64/x
  3. Step 3: Cross multiply
    274.68x = 411.94 × 137.64
  4. Step 4: Simplify right side
    274.68x = 56,699.42
  5. Step 5: Solve for x
    x = 56,699.42/274.68
  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.