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Finding the Fourth Proportional to 282.20, 423.29 and 111.20

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Solution

The fourth proportional to 282.20, 423.29 and 111.20 is: 166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.20 : 423.29 = 111.20 : x
  2. Step 2: Convert to fraction form
    282.20/423.29 = 111.20/x
  3. Step 3: Cross multiply
    282.20x = 423.29 × 111.20
  4. Step 4: Simplify right side
    282.20x = 47,067.18
  5. Step 5: Solve for x
    x = 47,067.18/282.20
  6. Step 6: Final answer
    x = 166.79

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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.