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Finding the Fourth Proportional to 251.42, 344.74 and 226.76

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Solution

The fourth proportional to 251.42, 344.74 and 226.76 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.42 : 344.74 = 226.76 : x
  2. Step 2: Convert to fraction form
    251.42/344.74 = 226.76/x
  3. Step 3: Cross multiply
    251.42x = 344.74 × 226.76
  4. Step 4: Simplify right side
    251.42x = 78,173.24
  5. Step 5: Solve for x
    x = 78,173.24/251.42
  6. Step 6: Final answer
    x = 310.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.