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Finding the Fourth Proportional to 181.58, 272.26 and 78.83

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Solution

The fourth proportional to 181.58, 272.26 and 78.83 is: 118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.58 : 272.26 = 78.83 : x
  2. Step 2: Convert to fraction form
    181.58/272.26 = 78.83/x
  3. Step 3: Cross multiply
    181.58x = 272.26 × 78.83
  4. Step 4: Simplify right side
    181.58x = 21,462.26
  5. Step 5: Solve for x
    x = 21,462.26/181.58
  6. Step 6: Final answer
    x = 118.20

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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.