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Finding the Fourth Proportional to 181.74, 272.55 and 78.96

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Solution

The fourth proportional to 181.74, 272.55 and 78.96 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.74 : 272.55 = 78.96 : x
  2. Step 2: Convert to fraction form
    181.74/272.55 = 78.96/x
  3. Step 3: Cross multiply
    181.74x = 272.55 × 78.96
  4. Step 4: Simplify right side
    181.74x = 21,520.55
  5. Step 5: Solve for x
    x = 21,520.55/181.74
  6. Step 6: Final answer
    x = 118.41

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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.