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Finding the Fourth Proportional to 205.29, 309.33 and 165.66

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Solution

The fourth proportional to 205.29, 309.33 and 165.66 is: 249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 309.33 = 165.66 : x
  2. Step 2: Convert to fraction form
    205.29/309.33 = 165.66/x
  3. Step 3: Cross multiply
    205.29x = 309.33 × 165.66
  4. Step 4: Simplify right side
    205.29x = 51,243.61
  5. Step 5: Solve for x
    x = 51,243.61/205.29
  6. Step 6: Final answer
    x = 249.62

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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.