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Finding the Fourth Proportional to 205.58, 309.53 and 181.36

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Solution

The fourth proportional to 205.58, 309.53 and 181.36 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.58 : 309.53 = 181.36 : x
  2. Step 2: Convert to fraction form
    205.58/309.53 = 181.36/x
  3. Step 3: Cross multiply
    205.58x = 309.53 × 181.36
  4. Step 4: Simplify right side
    205.58x = 56,135.45
  5. Step 5: Solve for x
    x = 56,135.45/205.58
  6. Step 6: Final answer
    x = 273.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.