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Finding the Fourth Proportional to 274.84, 379.76 and 225.68

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Solution

The fourth proportional to 274.84, 379.76 and 225.68 is: 311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.84 : 379.76 = 225.68 : x
  2. Step 2: Convert to fraction form
    274.84/379.76 = 225.68/x
  3. Step 3: Cross multiply
    274.84x = 379.76 × 225.68
  4. Step 4: Simplify right side
    274.84x = 85,704.24
  5. Step 5: Solve for x
    x = 85,704.24/274.84
  6. Step 6: Final answer
    x = 311.83

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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.