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Finding the Fourth Proportional to 54.87, 81.77 and 53.43

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Solution

The fourth proportional to 54.87, 81.77 and 53.43 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 81.77 = 53.43 : x
  2. Step 2: Convert to fraction form
    54.87/81.77 = 53.43/x
  3. Step 3: Cross multiply
    54.87x = 81.77 × 53.43
  4. Step 4: Simplify right side
    54.87x = 4,368.97
  5. Step 5: Solve for x
    x = 4,368.97/54.87
  6. Step 6: Final answer
    x = 79.62

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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.