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Finding the Fourth Proportional to 54.36, 81.99 and 51.84

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Solution

The fourth proportional to 54.36, 81.99 and 51.84 is: 78.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.36 : 81.99 = 51.84 : x
  2. Step 2: Convert to fraction form
    54.36/81.99 = 51.84/x
  3. Step 3: Cross multiply
    54.36x = 81.99 × 51.84
  4. Step 4: Simplify right side
    54.36x = 4,250.36
  5. Step 5: Solve for x
    x = 4,250.36/54.36
  6. Step 6: Final answer
    x = 78.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.