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Finding the Fourth Proportional to 218.73, 329.59 and 181.06

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Solution

The fourth proportional to 218.73, 329.59 and 181.06 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.73 : 329.59 = 181.06 : x
  2. Step 2: Convert to fraction form
    218.73/329.59 = 181.06/x
  3. Step 3: Cross multiply
    218.73x = 329.59 × 181.06
  4. Step 4: Simplify right side
    218.73x = 59,675.01
  5. Step 5: Solve for x
    x = 59,675.01/218.73
  6. Step 6: Final answer
    x = 272.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.