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Finding the Fourth Proportional to 188.85, 282.65 and 107.67

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Solution

The fourth proportional to 188.85, 282.65 and 107.67 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.85 : 282.65 = 107.67 : x
  2. Step 2: Convert to fraction form
    188.85/282.65 = 107.67/x
  3. Step 3: Cross multiply
    188.85x = 282.65 × 107.67
  4. Step 4: Simplify right side
    188.85x = 30,432.39
  5. Step 5: Solve for x
    x = 30,432.39/188.85
  6. Step 6: Final answer
    x = 161.15

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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.