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Finding the Fourth Proportional to 274.35, 411.29 and 137.21

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Solution

The fourth proportional to 274.35, 411.29 and 137.21 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 411.29 = 137.21 : x
  2. Step 2: Convert to fraction form
    274.35/411.29 = 137.21/x
  3. Step 3: Cross multiply
    274.35x = 411.29 × 137.21
  4. Step 4: Simplify right side
    274.35x = 56,430.87
  5. Step 5: Solve for x
    x = 56,430.87/274.35
  6. Step 6: Final answer
    x = 205.69

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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.