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Finding the Fourth Proportional to 213.91, 295.19 and 120.64

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Solution

The fourth proportional to 213.91, 295.19 and 120.64 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.91 : 295.19 = 120.64 : x
  2. Step 2: Convert to fraction form
    213.91/295.19 = 120.64/x
  3. Step 3: Cross multiply
    213.91x = 295.19 × 120.64
  4. Step 4: Simplify right side
    213.91x = 35,611.72
  5. Step 5: Solve for x
    x = 35,611.72/213.91
  6. Step 6: Final answer
    x = 166.48

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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.