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Finding the Fourth Proportional to 203.94, 306.07 and 106.46

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Solution

The fourth proportional to 203.94, 306.07 and 106.46 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 306.07 = 106.46 : x
  2. Step 2: Convert to fraction form
    203.94/306.07 = 106.46/x
  3. Step 3: Cross multiply
    203.94x = 306.07 × 106.46
  4. Step 4: Simplify right side
    203.94x = 32,584.45
  5. Step 5: Solve for x
    x = 32,584.45/203.94
  6. Step 6: Final answer
    x = 159.78

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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.