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Finding the Fourth Proportional to 188.34, 281.15 and 162.83

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Solution

The fourth proportional to 188.34, 281.15 and 162.83 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.34 : 281.15 = 162.83 : x
  2. Step 2: Convert to fraction form
    188.34/281.15 = 162.83/x
  3. Step 3: Cross multiply
    188.34x = 281.15 × 162.83
  4. Step 4: Simplify right side
    188.34x = 45,777.43
  5. Step 5: Solve for x
    x = 45,777.43/188.34
  6. Step 6: Final answer
    x = 243.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.