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Finding the Fourth Proportional to 271.80, 373.41 and 222.57

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Solution

The fourth proportional to 271.80, 373.41 and 222.57 is: 305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 373.41 = 222.57 : x
  2. Step 2: Convert to fraction form
    271.80/373.41 = 222.57/x
  3. Step 3: Cross multiply
    271.80x = 373.41 × 222.57
  4. Step 4: Simplify right side
    271.80x = 83,109.86
  5. Step 5: Solve for x
    x = 83,109.86/271.80
  6. Step 6: Final answer
    x = 305.78

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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.