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Finding the Fourth Proportional to 188.06, 281.96 and 79.76

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Solution

The fourth proportional to 188.06, 281.96 and 79.76 is: 119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.06 : 281.96 = 79.76 : x
  2. Step 2: Convert to fraction form
    188.06/281.96 = 79.76/x
  3. Step 3: Cross multiply
    188.06x = 281.96 × 79.76
  4. Step 4: Simplify right side
    188.06x = 22,489.13
  5. Step 5: Solve for x
    x = 22,489.13/188.06
  6. Step 6: Final answer
    x = 119.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.