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Finding the Fourth Proportional to 205.73, 309.71 and 180.21

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Solution

The fourth proportional to 205.73, 309.71 and 180.21 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 309.71 = 180.21 : x
  2. Step 2: Convert to fraction form
    205.73/309.71 = 180.21/x
  3. Step 3: Cross multiply
    205.73x = 309.71 × 180.21
  4. Step 4: Simplify right side
    205.73x = 55,812.84
  5. Step 5: Solve for x
    x = 55,812.84/205.73
  6. Step 6: Final answer
    x = 271.29

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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.