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Finding the Fourth Proportional to 205.49, 283.93 and 164.38

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Solution

The fourth proportional to 205.49, 283.93 and 164.38 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.49 : 283.93 = 164.38 : x
  2. Step 2: Convert to fraction form
    205.49/283.93 = 164.38/x
  3. Step 3: Cross multiply
    205.49x = 283.93 × 164.38
  4. Step 4: Simplify right side
    205.49x = 46,671.29
  5. Step 5: Solve for x
    x = 46,671.29/205.49
  6. Step 6: Final answer
    x = 227.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.