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Finding the Fourth Proportional to 181.53, 272.42 and 78.91

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Solution

The fourth proportional to 181.53, 272.42 and 78.91 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.53 : 272.42 = 78.91 : x
  2. Step 2: Convert to fraction form
    181.53/272.42 = 78.91/x
  3. Step 3: Cross multiply
    181.53x = 272.42 × 78.91
  4. Step 4: Simplify right side
    181.53x = 21,496.66
  5. Step 5: Solve for x
    x = 21,496.66/181.53
  6. Step 6: Final answer
    x = 118.42

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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.