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Finding the Fourth Proportional to 274.42, 409.97 and 209.24

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Solution

The fourth proportional to 274.42, 409.97 and 209.24 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 409.97 = 209.24 : x
  2. Step 2: Convert to fraction form
    274.42/409.97 = 209.24/x
  3. Step 3: Cross multiply
    274.42x = 409.97 × 209.24
  4. Step 4: Simplify right side
    274.42x = 85,782.70
  5. Step 5: Solve for x
    x = 85,782.70/274.42
  6. Step 6: Final answer
    x = 312.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.