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Finding the Fourth Proportional to 120.98, 181.60 and 92.18

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Solution

The fourth proportional to 120.98, 181.60 and 92.18 is: 138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 181.60 = 92.18 : x
  2. Step 2: Convert to fraction form
    120.98/181.60 = 92.18/x
  3. Step 3: Cross multiply
    120.98x = 181.60 × 92.18
  4. Step 4: Simplify right side
    120.98x = 16,739.89
  5. Step 5: Solve for x
    x = 16,739.89/120.98
  6. Step 6: Final answer
    x = 138.37

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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.