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Finding the Fourth Proportional to 205.56, 308.74 and 181.26

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Solution

The fourth proportional to 205.56, 308.74 and 181.26 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.56 : 308.74 = 181.26 : x
  2. Step 2: Convert to fraction form
    205.56/308.74 = 181.26/x
  3. Step 3: Cross multiply
    205.56x = 308.74 × 181.26
  4. Step 4: Simplify right side
    205.56x = 55,962.21
  5. Step 5: Solve for x
    x = 55,962.21/205.56
  6. Step 6: Final answer
    x = 272.24

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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.