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Finding the Fourth Proportional to 274.49, 410.94 and 206.30

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Solution

The fourth proportional to 274.49, 410.94 and 206.30 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 410.94 = 206.30 : x
  2. Step 2: Convert to fraction form
    274.49/410.94 = 206.30/x
  3. Step 3: Cross multiply
    274.49x = 410.94 × 206.30
  4. Step 4: Simplify right side
    274.49x = 84,774.87
  5. Step 5: Solve for x
    x = 84,774.87/274.49
  6. Step 6: Final answer
    x = 308.85

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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.