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Finding the Fourth Proportional to 53.25, 79.81 and 27.54

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Solution

The fourth proportional to 53.25, 79.81 and 27.54 is: 41.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.25 : 79.81 = 27.54 : x
  2. Step 2: Convert to fraction form
    53.25/79.81 = 27.54/x
  3. Step 3: Cross multiply
    53.25x = 79.81 × 27.54
  4. Step 4: Simplify right side
    53.25x = 2,197.97
  5. Step 5: Solve for x
    x = 2,197.97/53.25
  6. Step 6: Final answer
    x = 41.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.