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Finding the Fourth Proportional to 54.77, 81.81 and 46.12

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Solution

The fourth proportional to 54.77, 81.81 and 46.12 is: 68.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.77 : 81.81 = 46.12 : x
  2. Step 2: Convert to fraction form
    54.77/81.81 = 46.12/x
  3. Step 3: Cross multiply
    54.77x = 81.81 × 46.12
  4. Step 4: Simplify right side
    54.77x = 3,773.36
  5. Step 5: Solve for x
    x = 3,773.36/54.77
  6. Step 6: Final answer
    x = 68.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.