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Finding the Fourth Proportional to 309.44, 427.05 and 185.13

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Solution

The fourth proportional to 309.44, 427.05 and 185.13 is: 255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 427.05 = 185.13 : x
  2. Step 2: Convert to fraction form
    309.44/427.05 = 185.13/x
  3. Step 3: Cross multiply
    309.44x = 427.05 × 185.13
  4. Step 4: Simplify right side
    309.44x = 79,059.77
  5. Step 5: Solve for x
    x = 79,059.77/309.44
  6. Step 6: Final answer
    x = 255.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.