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Finding the Fourth Proportional to 377.75, 521.36 and 274.43

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Solution

The fourth proportional to 377.75, 521.36 and 274.43 is: 378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 521.36 = 274.43 : x
  2. Step 2: Convert to fraction form
    377.75/521.36 = 274.43/x
  3. Step 3: Cross multiply
    377.75x = 521.36 × 274.43
  4. Step 4: Simplify right side
    377.75x = 143,075.45
  5. Step 5: Solve for x
    x = 143,075.45/377.75
  6. Step 6: Final answer
    x = 378.76

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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.