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Finding the Fourth Proportional to 274.23, 377.26 and 266.54

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Solution

The fourth proportional to 274.23, 377.26 and 266.54 is: 366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 377.26 = 266.54 : x
  2. Step 2: Convert to fraction form
    274.23/377.26 = 266.54/x
  3. Step 3: Cross multiply
    274.23x = 377.26 × 266.54
  4. Step 4: Simplify right side
    274.23x = 100,554.45
  5. Step 5: Solve for x
    x = 100,554.45/274.23
  6. Step 6: Final answer
    x = 366.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.