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Finding the Fourth Proportional to 188.56, 282.42 and 80.02

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Solution

The fourth proportional to 188.56, 282.42 and 80.02 is: 119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 282.42 = 80.02 : x
  2. Step 2: Convert to fraction form
    188.56/282.42 = 80.02/x
  3. Step 3: Cross multiply
    188.56x = 282.42 × 80.02
  4. Step 4: Simplify right side
    188.56x = 22,599.25
  5. Step 5: Solve for x
    x = 22,599.25/188.56
  6. Step 6: Final answer
    x = 119.85

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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.