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Finding the Fourth Proportional to 229.80, 344.69 and 127.03

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Solution

The fourth proportional to 229.80, 344.69 and 127.03 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 344.69 = 127.03 : x
  2. Step 2: Convert to fraction form
    229.80/344.69 = 127.03/x
  3. Step 3: Cross multiply
    229.80x = 344.69 × 127.03
  4. Step 4: Simplify right side
    229.80x = 43,785.43
  5. Step 5: Solve for x
    x = 43,785.43/229.80
  6. Step 6: Final answer
    x = 190.54

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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.