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Finding the Fourth Proportional to 274.76, 408.60 and 266.11

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Solution

The fourth proportional to 274.76, 408.60 and 266.11 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.76 : 408.60 = 266.11 : x
  2. Step 2: Convert to fraction form
    274.76/408.60 = 266.11/x
  3. Step 3: Cross multiply
    274.76x = 408.60 × 266.11
  4. Step 4: Simplify right side
    274.76x = 108,730.50
  5. Step 5: Solve for x
    x = 108,730.50/274.76
  6. Step 6: Final answer
    x = 395.74

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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.