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Finding the Fourth Proportional to 205.82, 284.33 and 164.32

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Solution

The fourth proportional to 205.82, 284.33 and 164.32 is: 227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.33 = 164.32 : x
  2. Step 2: Convert to fraction form
    205.82/284.33 = 164.32/x
  3. Step 3: Cross multiply
    205.82x = 284.33 × 164.32
  4. Step 4: Simplify right side
    205.82x = 46,719.57
  5. Step 5: Solve for x
    x = 46,719.57/205.82
  6. Step 6: Final answer
    x = 227.00

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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.