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Finding the Fourth Proportional to 188.12, 282.35 and 119.43

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Solution

The fourth proportional to 188.12, 282.35 and 119.43 is: 179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 282.35 = 119.43 : x
  2. Step 2: Convert to fraction form
    188.12/282.35 = 119.43/x
  3. Step 3: Cross multiply
    188.12x = 282.35 × 119.43
  4. Step 4: Simplify right side
    188.12x = 33,720.46
  5. Step 5: Solve for x
    x = 33,720.46/188.12
  6. Step 6: Final answer
    x = 179.25

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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.