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Finding the Fourth Proportional to 271.35, 405.41 and 222.75

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Solution

The fourth proportional to 271.35, 405.41 and 222.75 is: 332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.35 : 405.41 = 222.75 : x
  2. Step 2: Convert to fraction form
    271.35/405.41 = 222.75/x
  3. Step 3: Cross multiply
    271.35x = 405.41 × 222.75
  4. Step 4: Simplify right side
    271.35x = 90,303.96
  5. Step 5: Solve for x
    x = 90,303.96/271.35
  6. Step 6: Final answer
    x = 332.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.