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Finding the Fourth Proportional to 206.93, 308.63 and 181.41

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Solution

The fourth proportional to 206.93, 308.63 and 181.41 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 308.63 = 181.41 : x
  2. Step 2: Convert to fraction form
    206.93/308.63 = 181.41/x
  3. Step 3: Cross multiply
    206.93x = 308.63 × 181.41
  4. Step 4: Simplify right side
    206.93x = 55,987.66
  5. Step 5: Solve for x
    x = 55,987.66/206.93
  6. Step 6: Final answer
    x = 270.57

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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.