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Finding the Fourth Proportional to 274.24, 409.70 and 219.04

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Solution

The fourth proportional to 274.24, 409.70 and 219.04 is: 327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 409.70 = 219.04 : x
  2. Step 2: Convert to fraction form
    274.24/409.70 = 219.04/x
  3. Step 3: Cross multiply
    274.24x = 409.70 × 219.04
  4. Step 4: Simplify right side
    274.24x = 89,740.69
  5. Step 5: Solve for x
    x = 89,740.69/274.24
  6. Step 6: Final answer
    x = 327.23

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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.