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Finding the Fourth Proportional to 108.98, 163.37 and 54.81

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Solution

The fourth proportional to 108.98, 163.37 and 54.81 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.98 : 163.37 = 54.81 : x
  2. Step 2: Convert to fraction form
    108.98/163.37 = 54.81/x
  3. Step 3: Cross multiply
    108.98x = 163.37 × 54.81
  4. Step 4: Simplify right side
    108.98x = 8,955.06
  5. Step 5: Solve for x
    x = 8,955.06/108.98
  6. Step 6: Final answer
    x = 82.17

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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.