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Finding the Fourth Proportional to 188.20, 281.85 and 142.48

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Solution

The fourth proportional to 188.20, 281.85 and 142.48 is: 213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.20 : 281.85 = 142.48 : x
  2. Step 2: Convert to fraction form
    188.20/281.85 = 142.48/x
  3. Step 3: Cross multiply
    188.20x = 281.85 × 142.48
  4. Step 4: Simplify right side
    188.20x = 40,157.99
  5. Step 5: Solve for x
    x = 40,157.99/188.20
  6. Step 6: Final answer
    x = 213.38

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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.