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Finding the Fourth Proportional to 54.99, 82.44 and 18.90

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Solution

The fourth proportional to 54.99, 82.44 and 18.90 is: 28.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.99 : 82.44 = 18.90 : x
  2. Step 2: Convert to fraction form
    54.99/82.44 = 18.90/x
  3. Step 3: Cross multiply
    54.99x = 82.44 × 18.90
  4. Step 4: Simplify right side
    54.99x = 1,558.12
  5. Step 5: Solve for x
    x = 1,558.12/54.99
  6. Step 6: Final answer
    x = 28.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.