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Finding the Fourth Proportional to 274.52, 411.87 and 137.55

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Solution

The fourth proportional to 274.52, 411.87 and 137.55 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 411.87 = 137.55 : x
  2. Step 2: Convert to fraction form
    274.52/411.87 = 137.55/x
  3. Step 3: Cross multiply
    274.52x = 411.87 × 137.55
  4. Step 4: Simplify right side
    274.52x = 56,652.72
  5. Step 5: Solve for x
    x = 56,652.72/274.52
  6. Step 6: Final answer
    x = 206.37

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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.