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Finding the Fourth Proportional to 181.80, 272.34 and 120.78

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Solution

The fourth proportional to 181.80, 272.34 and 120.78 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 272.34 = 120.78 : x
  2. Step 2: Convert to fraction form
    181.80/272.34 = 120.78/x
  3. Step 3: Cross multiply
    181.80x = 272.34 × 120.78
  4. Step 4: Simplify right side
    181.80x = 32,893.23
  5. Step 5: Solve for x
    x = 32,893.23/181.80
  6. Step 6: Final answer
    x = 180.93

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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.