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Finding the Fourth Proportional to 203.18, 305.04 and 105.75

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Solution

The fourth proportional to 203.18, 305.04 and 105.75 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.18 : 305.04 = 105.75 : x
  2. Step 2: Convert to fraction form
    203.18/305.04 = 105.75/x
  3. Step 3: Cross multiply
    203.18x = 305.04 × 105.75
  4. Step 4: Simplify right side
    203.18x = 32,257.98
  5. Step 5: Solve for x
    x = 32,257.98/203.18
  6. Step 6: Final answer
    x = 158.77

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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.