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Finding the Fourth Proportional to 170.30, 255.50 and 131.83

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Solution

The fourth proportional to 170.30, 255.50 and 131.83 is: 197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.30 : 255.50 = 131.83 : x
  2. Step 2: Convert to fraction form
    170.30/255.50 = 131.83/x
  3. Step 3: Cross multiply
    170.30x = 255.50 × 131.83
  4. Step 4: Simplify right side
    170.30x = 33,682.50
  5. Step 5: Solve for x
    x = 33,682.50/170.30
  6. Step 6: Final answer
    x = 197.78

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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.