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Finding the Fourth Proportional to 188.66, 282.99 and 80.45

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Solution

The fourth proportional to 188.66, 282.99 and 80.45 is: 120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.66 : 282.99 = 80.45 : x
  2. Step 2: Convert to fraction form
    188.66/282.99 = 80.45/x
  3. Step 3: Cross multiply
    188.66x = 282.99 × 80.45
  4. Step 4: Simplify right side
    188.66x = 22,765.13
  5. Step 5: Solve for x
    x = 22,765.13/188.66
  6. Step 6: Final answer
    x = 120.67

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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.