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Finding the Fourth Proportional to 203.20, 304.42 and 111.83

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Solution

The fourth proportional to 203.20, 304.42 and 111.83 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.20 : 304.42 = 111.83 : x
  2. Step 2: Convert to fraction form
    203.20/304.42 = 111.83/x
  3. Step 3: Cross multiply
    203.20x = 304.42 × 111.83
  4. Step 4: Simplify right side
    203.20x = 34,041.49
  5. Step 5: Solve for x
    x = 34,041.49/203.20
  6. Step 6: Final answer
    x = 167.53

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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.