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Finding the Fourth Proportional to 231.21, 344.99 and 192.69

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Solution

The fourth proportional to 231.21, 344.99 and 192.69 is: 287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.21 : 344.99 = 192.69 : x
  2. Step 2: Convert to fraction form
    231.21/344.99 = 192.69/x
  3. Step 3: Cross multiply
    231.21x = 344.99 × 192.69
  4. Step 4: Simplify right side
    231.21x = 66,476.60
  5. Step 5: Solve for x
    x = 66,476.60/231.21
  6. Step 6: Final answer
    x = 287.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.