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Finding the Fourth Proportional to 213.78, 295.05 and 120.54

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Solution

The fourth proportional to 213.78, 295.05 and 120.54 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.78 : 295.05 = 120.54 : x
  2. Step 2: Convert to fraction form
    213.78/295.05 = 120.54/x
  3. Step 3: Cross multiply
    213.78x = 295.05 × 120.54
  4. Step 4: Simplify right side
    213.78x = 35,565.33
  5. Step 5: Solve for x
    x = 35,565.33/213.78
  6. Step 6: Final answer
    x = 166.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.