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Finding the Fourth Proportional to 54, 81 and 32.67

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Solution

The fourth proportional to 54, 81 and 32.67 is: 49.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 81 = 32.67 : x
  2. Step 2: Convert to fraction form
    54/81 = 32.67/x
  3. Step 3: Cross multiply
    54x = 81 × 32.67
  4. Step 4: Simplify right side
    54x = 2,646.27
  5. Step 5: Solve for x
    x = 2,646.27/54
  6. Step 6: Final answer
    x = 49.01

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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.