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Finding the Fourth Proportional to 274.87, 408.77 and 266.21

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Solution

The fourth proportional to 274.87, 408.77 and 266.21 is: 395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.87 : 408.77 = 266.21 : x
  2. Step 2: Convert to fraction form
    274.87/408.77 = 266.21/x
  3. Step 3: Cross multiply
    274.87x = 408.77 × 266.21
  4. Step 4: Simplify right side
    274.87x = 108,818.35
  5. Step 5: Solve for x
    x = 108,818.35/274.87
  6. Step 6: Final answer
    x = 395.89

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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.