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Finding the Fourth Proportional to 229.80, 344.69 and 83.49

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Solution

The fourth proportional to 229.80, 344.69 and 83.49 is: 125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 344.69 = 83.49 : x
  2. Step 2: Convert to fraction form
    229.80/344.69 = 83.49/x
  3. Step 3: Cross multiply
    229.80x = 344.69 × 83.49
  4. Step 4: Simplify right side
    229.80x = 28,777.75
  5. Step 5: Solve for x
    x = 28,777.75/229.80
  6. Step 6: Final answer
    x = 125.23

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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.