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Finding the Fourth Proportional to 230.80, 348.03 and 205.60

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Solution

The fourth proportional to 230.80, 348.03 and 205.60 is: 310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 348.03 = 205.60 : x
  2. Step 2: Convert to fraction form
    230.80/348.03 = 205.60/x
  3. Step 3: Cross multiply
    230.80x = 348.03 × 205.60
  4. Step 4: Simplify right side
    230.80x = 71,554.97
  5. Step 5: Solve for x
    x = 71,554.97/230.80
  6. Step 6: Final answer
    x = 310.03

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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.