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Finding the Fourth Proportional to 299.25, 412.98 and 182.82

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Solution

The fourth proportional to 299.25, 412.98 and 182.82 is: 252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 412.98 = 182.82 : x
  2. Step 2: Convert to fraction form
    299.25/412.98 = 182.82/x
  3. Step 3: Cross multiply
    299.25x = 412.98 × 182.82
  4. Step 4: Simplify right side
    299.25x = 75,501.00
  5. Step 5: Solve for x
    x = 75,501.00/299.25
  6. Step 6: Final answer
    x = 252.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.