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Finding the Fourth Proportional to 188.32, 281.93 and 115.96

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Solution

The fourth proportional to 188.32, 281.93 and 115.96 is: 173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.32 : 281.93 = 115.96 : x
  2. Step 2: Convert to fraction form
    188.32/281.93 = 115.96/x
  3. Step 3: Cross multiply
    188.32x = 281.93 × 115.96
  4. Step 4: Simplify right side
    188.32x = 32,692.60
  5. Step 5: Solve for x
    x = 32,692.60/188.32
  6. Step 6: Final answer
    x = 173.60

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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.