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Finding the Fourth Proportional to 213.99, 295.31 and 120.75

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Solution

The fourth proportional to 213.99, 295.31 and 120.75 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.99 : 295.31 = 120.75 : x
  2. Step 2: Convert to fraction form
    213.99/295.31 = 120.75/x
  3. Step 3: Cross multiply
    213.99x = 295.31 × 120.75
  4. Step 4: Simplify right side
    213.99x = 35,658.68
  5. Step 5: Solve for x
    x = 35,658.68/213.99
  6. Step 6: Final answer
    x = 166.64

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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.