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Finding the Fourth Proportional to 274.77, 411.50 and 209.69

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Solution

The fourth proportional to 274.77, 411.50 and 209.69 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.77 : 411.50 = 209.69 : x
  2. Step 2: Convert to fraction form
    274.77/411.50 = 209.69/x
  3. Step 3: Cross multiply
    274.77x = 411.50 × 209.69
  4. Step 4: Simplify right side
    274.77x = 86,287.44
  5. Step 5: Solve for x
    x = 86,287.44/274.77
  6. Step 6: Final answer
    x = 314.04

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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.