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Finding the Fourth Proportional to 54.31, 74.94 and 33.59

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Solution

The fourth proportional to 54.31, 74.94 and 33.59 is: 46.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.31 : 74.94 = 33.59 : x
  2. Step 2: Convert to fraction form
    54.31/74.94 = 33.59/x
  3. Step 3: Cross multiply
    54.31x = 74.94 × 33.59
  4. Step 4: Simplify right side
    54.31x = 2,517.06
  5. Step 5: Solve for x
    x = 2,517.06/54.31
  6. Step 6: Final answer
    x = 46.35

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Why These Related Problems?

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