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Finding the Fourth Proportional to 311.52, 428.94 and 274.68

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Solution

The fourth proportional to 311.52, 428.94 and 274.68 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 428.94 = 274.68 : x
  2. Step 2: Convert to fraction form
    311.52/428.94 = 274.68/x
  3. Step 3: Cross multiply
    311.52x = 428.94 × 274.68
  4. Step 4: Simplify right side
    311.52x = 117,821.24
  5. Step 5: Solve for x
    x = 117,821.24/311.52
  6. Step 6: Final answer
    x = 378.21

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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.