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Finding the Fourth Proportional to 183.44, 253.14 and 105.78

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Solution

The fourth proportional to 183.44, 253.14 and 105.78 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 253.14 = 105.78 : x
  2. Step 2: Convert to fraction form
    183.44/253.14 = 105.78/x
  3. Step 3: Cross multiply
    183.44x = 253.14 × 105.78
  4. Step 4: Simplify right side
    183.44x = 26,777.15
  5. Step 5: Solve for x
    x = 26,777.15/183.44
  6. Step 6: Final answer
    x = 145.97

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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.