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Finding the Fourth Proportional to 54.98, 75.90 and 33.18

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Solution

The fourth proportional to 54.98, 75.90 and 33.18 is: 45.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 75.90 = 33.18 : x
  2. Step 2: Convert to fraction form
    54.98/75.90 = 33.18/x
  3. Step 3: Cross multiply
    54.98x = 75.90 × 33.18
  4. Step 4: Simplify right side
    54.98x = 2,518.36
  5. Step 5: Solve for x
    x = 2,518.36/54.98
  6. Step 6: Final answer
    x = 45.81

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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.