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Finding the Fourth Proportional to 274.12, 409.48 and 246.65

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Solution

The fourth proportional to 274.12, 409.48 and 246.65 is: 368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 409.48 = 246.65 : x
  2. Step 2: Convert to fraction form
    274.12/409.48 = 246.65/x
  3. Step 3: Cross multiply
    274.12x = 409.48 × 246.65
  4. Step 4: Simplify right side
    274.12x = 100,995.58
  5. Step 5: Solve for x
    x = 100,995.58/274.12
  6. Step 6: Final answer
    x = 368.44

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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.