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Finding the Fourth Proportional to 54.37, 81.33 and 43.48

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Solution

The fourth proportional to 54.37, 81.33 and 43.48 is: 65.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.37 : 81.33 = 43.48 : x
  2. Step 2: Convert to fraction form
    54.37/81.33 = 43.48/x
  3. Step 3: Cross multiply
    54.37x = 81.33 × 43.48
  4. Step 4: Simplify right side
    54.37x = 3,536.23
  5. Step 5: Solve for x
    x = 3,536.23/54.37
  6. Step 6: Final answer
    x = 65.04

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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.