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Finding the Fourth Proportional to 188.00, 281.56 and 110.81

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Solution

The fourth proportional to 188.00, 281.56 and 110.81 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.00 : 281.56 = 110.81 : x
  2. Step 2: Convert to fraction form
    188.00/281.56 = 110.81/x
  3. Step 3: Cross multiply
    188.00x = 281.56 × 110.81
  4. Step 4: Simplify right side
    188.00x = 31,197.98
  5. Step 5: Solve for x
    x = 31,197.98/188.00
  6. Step 6: Final answer
    x = 165.95

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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.