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Finding the Fourth Proportional to 169.80, 255.62 and 116.04

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Solution

The fourth proportional to 169.80, 255.62 and 116.04 is: 174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 255.62 = 116.04 : x
  2. Step 2: Convert to fraction form
    169.80/255.62 = 116.04/x
  3. Step 3: Cross multiply
    169.80x = 255.62 × 116.04
  4. Step 4: Simplify right side
    169.80x = 29,662.14
  5. Step 5: Solve for x
    x = 29,662.14/169.80
  6. Step 6: Final answer
    x = 174.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.