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Finding the Fourth Proportional to 309.73, 427.43 and 244.12

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Solution

The fourth proportional to 309.73, 427.43 and 244.12 is: 336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.73 : 427.43 = 244.12 : x
  2. Step 2: Convert to fraction form
    309.73/427.43 = 244.12/x
  3. Step 3: Cross multiply
    309.73x = 427.43 × 244.12
  4. Step 4: Simplify right side
    309.73x = 104,343.75
  5. Step 5: Solve for x
    x = 104,343.75/309.73
  6. Step 6: Final answer
    x = 336.89

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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.