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Finding the Fourth Proportional to 312.03, 427.52 and 308.19

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Solution

The fourth proportional to 312.03, 427.52 and 308.19 is: 422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.03 : 427.52 = 308.19 : x
  2. Step 2: Convert to fraction form
    312.03/427.52 = 308.19/x
  3. Step 3: Cross multiply
    312.03x = 427.52 × 308.19
  4. Step 4: Simplify right side
    312.03x = 131,757.39
  5. Step 5: Solve for x
    x = 131,757.39/312.03
  6. Step 6: Final answer
    x = 422.26

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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.