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Finding the Fourth Proportional to 203.90, 305.85 and 132.21

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Solution

The fourth proportional to 203.90, 305.85 and 132.21 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 305.85 = 132.21 : x
  2. Step 2: Convert to fraction form
    203.90/305.85 = 132.21/x
  3. Step 3: Cross multiply
    203.90x = 305.85 × 132.21
  4. Step 4: Simplify right side
    203.90x = 40,436.92
  5. Step 5: Solve for x
    x = 40,436.92/203.90
  6. Step 6: Final answer
    x = 198.32

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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.