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Finding the Fourth Proportional to 203.55, 281.00 and 120.69

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Solution

The fourth proportional to 203.55, 281.00 and 120.69 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.55 : 281.00 = 120.69 : x
  2. Step 2: Convert to fraction form
    203.55/281.00 = 120.69/x
  3. Step 3: Cross multiply
    203.55x = 281.00 × 120.69
  4. Step 4: Simplify right side
    203.55x = 33,914.19
  5. Step 5: Solve for x
    x = 33,914.19/203.55
  6. Step 6: Final answer
    x = 166.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.