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Finding the Fourth Proportional to 274.16, 411.39 and 137.21

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Solution

The fourth proportional to 274.16, 411.39 and 137.21 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 411.39 = 137.21 : x
  2. Step 2: Convert to fraction form
    274.16/411.39 = 137.21/x
  3. Step 3: Cross multiply
    274.16x = 411.39 × 137.21
  4. Step 4: Simplify right side
    274.16x = 56,444.76
  5. Step 5: Solve for x
    x = 56,444.76/274.16
  6. Step 6: Final answer
    x = 205.88

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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.