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Finding the Fourth Proportional to 311.26, 427.05 and 303.52

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Solution

The fourth proportional to 311.26, 427.05 and 303.52 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.26 : 427.05 = 303.52 : x
  2. Step 2: Convert to fraction form
    311.26/427.05 = 303.52/x
  3. Step 3: Cross multiply
    311.26x = 427.05 × 303.52
  4. Step 4: Simplify right side
    311.26x = 129,618.22
  5. Step 5: Solve for x
    x = 129,618.22/311.26
  6. Step 6: Final answer
    x = 416.43

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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.