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Finding the Fourth Proportional to 188.21, 281.57 and 162.81

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Solution

The fourth proportional to 188.21, 281.57 and 162.81 is: 243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.21 : 281.57 = 162.81 : x
  2. Step 2: Convert to fraction form
    188.21/281.57 = 162.81/x
  3. Step 3: Cross multiply
    188.21x = 281.57 × 162.81
  4. Step 4: Simplify right side
    188.21x = 45,841.60
  5. Step 5: Solve for x
    x = 45,841.60/188.21
  6. Step 6: Final answer
    x = 243.56

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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.