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Finding the Fourth Proportional to 274.80, 412.23 and 206.34

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Solution

The fourth proportional to 274.80, 412.23 and 206.34 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 412.23 = 206.34 : x
  2. Step 2: Convert to fraction form
    274.80/412.23 = 206.34/x
  3. Step 3: Cross multiply
    274.80x = 412.23 × 206.34
  4. Step 4: Simplify right side
    274.80x = 85,059.54
  5. Step 5: Solve for x
    x = 85,059.54/274.80
  6. Step 6: Final answer
    x = 309.53

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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.