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Finding the Fourth Proportional to 203.62, 281.00 and 110.37

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Solution

The fourth proportional to 203.62, 281.00 and 110.37 is: 152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.62 : 281.00 = 110.37 : x
  2. Step 2: Convert to fraction form
    203.62/281.00 = 110.37/x
  3. Step 3: Cross multiply
    203.62x = 281.00 × 110.37
  4. Step 4: Simplify right side
    203.62x = 31,013.10
  5. Step 5: Solve for x
    x = 31,013.10/203.62
  6. Step 6: Final answer
    x = 152.31

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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.