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Finding the Fourth Proportional to 54.02, 81 and 32.37

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Solution

The fourth proportional to 54.02, 81 and 32.37 is: 48.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.02 : 81 = 32.37 : x
  2. Step 2: Convert to fraction form
    54.02/81 = 32.37/x
  3. Step 3: Cross multiply
    54.02x = 81 × 32.37
  4. Step 4: Simplify right side
    54.02x = 2,621.97
  5. Step 5: Solve for x
    x = 2,621.97/54.02
  6. Step 6: Final answer
    x = 48.54

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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.