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Finding the Fourth Proportional to 231.09, 345.69 and 169.80

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Solution

The fourth proportional to 231.09, 345.69 and 169.80 is: 254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 345.69 = 169.80 : x
  2. Step 2: Convert to fraction form
    231.09/345.69 = 169.80/x
  3. Step 3: Cross multiply
    231.09x = 345.69 × 169.80
  4. Step 4: Simplify right side
    231.09x = 58,698.16
  5. Step 5: Solve for x
    x = 58,698.16/231.09
  6. Step 6: Final answer
    x = 254.01

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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.