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Finding the Fourth Proportional to 206.94, 309.62 and 181.07

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Solution

The fourth proportional to 206.94, 309.62 and 181.07 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 309.62 = 181.07 : x
  2. Step 2: Convert to fraction form
    206.94/309.62 = 181.07/x
  3. Step 3: Cross multiply
    206.94x = 309.62 × 181.07
  4. Step 4: Simplify right side
    206.94x = 56,062.89
  5. Step 5: Solve for x
    x = 56,062.89/206.94
  6. Step 6: Final answer
    x = 270.91

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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.