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Finding the Fourth Proportional to 203.93, 305.50 and 135.25

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Solution

The fourth proportional to 203.93, 305.50 and 135.25 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 305.50 = 135.25 : x
  2. Step 2: Convert to fraction form
    203.93/305.50 = 135.25/x
  3. Step 3: Cross multiply
    203.93x = 305.50 × 135.25
  4. Step 4: Simplify right side
    203.93x = 41,318.88
  5. Step 5: Solve for x
    x = 41,318.88/203.93
  6. Step 6: Final answer
    x = 202.61

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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.