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Finding the Fourth Proportional to 271.98, 375.12 and 225.54

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Solution

The fourth proportional to 271.98, 375.12 and 225.54 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.98 : 375.12 = 225.54 : x
  2. Step 2: Convert to fraction form
    271.98/375.12 = 225.54/x
  3. Step 3: Cross multiply
    271.98x = 375.12 × 225.54
  4. Step 4: Simplify right side
    271.98x = 84,604.56
  5. Step 5: Solve for x
    x = 84,604.56/271.98
  6. Step 6: Final answer
    x = 311.07

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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.