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Finding the Fourth Proportional to 143.45, 214.75 and 111.09

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Solution

The fourth proportional to 143.45, 214.75 and 111.09 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.45 : 214.75 = 111.09 : x
  2. Step 2: Convert to fraction form
    143.45/214.75 = 111.09/x
  3. Step 3: Cross multiply
    143.45x = 214.75 × 111.09
  4. Step 4: Simplify right side
    143.45x = 23,856.58
  5. Step 5: Solve for x
    x = 23,856.58/143.45
  6. Step 6: Final answer
    x = 166.31

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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.