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Finding the Fourth Proportional to 309.67, 427.42 and 185.33

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Solution

The fourth proportional to 309.67, 427.42 and 185.33 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 427.42 = 185.33 : x
  2. Step 2: Convert to fraction form
    309.67/427.42 = 185.33/x
  3. Step 3: Cross multiply
    309.67x = 427.42 × 185.33
  4. Step 4: Simplify right side
    309.67x = 79,213.75
  5. Step 5: Solve for x
    x = 79,213.75/309.67
  6. Step 6: Final answer
    x = 255.80

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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.