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Finding the Fourth Proportional to 203.83, 305.78 and 112.49

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Solution

The fourth proportional to 203.83, 305.78 and 112.49 is: 168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 305.78 = 112.49 : x
  2. Step 2: Convert to fraction form
    203.83/305.78 = 112.49/x
  3. Step 3: Cross multiply
    203.83x = 305.78 × 112.49
  4. Step 4: Simplify right side
    203.83x = 34,397.19
  5. Step 5: Solve for x
    x = 34,397.19/203.83
  6. Step 6: Final answer
    x = 168.75

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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.