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Finding the Fourth Proportional to 282.12, 423.20 and 119.80

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Solution

The fourth proportional to 282.12, 423.20 and 119.80 is: 179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 423.20 = 119.80 : x
  2. Step 2: Convert to fraction form
    282.12/423.20 = 119.80/x
  3. Step 3: Cross multiply
    282.12x = 423.20 × 119.80
  4. Step 4: Simplify right side
    282.12x = 50,699.36
  5. Step 5: Solve for x
    x = 50,699.36/282.12
  6. Step 6: Final answer
    x = 179.71

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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.