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Finding the Fourth Proportional to 185.96, 277.73 and 155.55

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Solution

The fourth proportional to 185.96, 277.73 and 155.55 is: 232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.96 : 277.73 = 155.55 : x
  2. Step 2: Convert to fraction form
    185.96/277.73 = 155.55/x
  3. Step 3: Cross multiply
    185.96x = 277.73 × 155.55
  4. Step 4: Simplify right side
    185.96x = 43,201.75
  5. Step 5: Solve for x
    x = 43,201.75/185.96
  6. Step 6: Final answer
    x = 232.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.