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Finding the Fourth Proportional to 209.26, 312.62 and 181.36

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Solution

The fourth proportional to 209.26, 312.62 and 181.36 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.26 : 312.62 = 181.36 : x
  2. Step 2: Convert to fraction form
    209.26/312.62 = 181.36/x
  3. Step 3: Cross multiply
    209.26x = 312.62 × 181.36
  4. Step 4: Simplify right side
    209.26x = 56,696.76
  5. Step 5: Solve for x
    x = 56,696.76/209.26
  6. Step 6: Final answer
    x = 270.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.