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Finding the Fourth Proportional to 274.86, 409.23 and 271.04

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Solution

The fourth proportional to 274.86, 409.23 and 271.04 is: 403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 409.23 = 271.04 : x
  2. Step 2: Convert to fraction form
    274.86/409.23 = 271.04/x
  3. Step 3: Cross multiply
    274.86x = 409.23 × 271.04
  4. Step 4: Simplify right side
    274.86x = 110,915.65
  5. Step 5: Solve for x
    x = 110,915.65/274.86
  6. Step 6: Final answer
    x = 403.54

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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.