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Finding the Fourth Proportional to 120.96, 181.44 and 52.54

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Solution

The fourth proportional to 120.96, 181.44 and 52.54 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 181.44 = 52.54 : x
  2. Step 2: Convert to fraction form
    120.96/181.44 = 52.54/x
  3. Step 3: Cross multiply
    120.96x = 181.44 × 52.54
  4. Step 4: Simplify right side
    120.96x = 9,532.86
  5. Step 5: Solve for x
    x = 9,532.86/120.96
  6. Step 6: Final answer
    x = 78.81

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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.