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Finding the Fourth Proportional to 199.89, 300.02 and 123.00

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Solution

The fourth proportional to 199.89, 300.02 and 123.00 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 300.02 = 123.00 : x
  2. Step 2: Convert to fraction form
    199.89/300.02 = 123.00/x
  3. Step 3: Cross multiply
    199.89x = 300.02 × 123.00
  4. Step 4: Simplify right side
    199.89x = 36,901.09
  5. Step 5: Solve for x
    x = 36,901.09/199.89
  6. Step 6: Final answer
    x = 184.61

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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.