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Finding the Fourth Proportional to 205.91, 284.23 and 123.05

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Solution

The fourth proportional to 205.91, 284.23 and 123.05 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.91 : 284.23 = 123.05 : x
  2. Step 2: Convert to fraction form
    205.91/284.23 = 123.05/x
  3. Step 3: Cross multiply
    205.91x = 284.23 × 123.05
  4. Step 4: Simplify right side
    205.91x = 34,973.08
  5. Step 5: Solve for x
    x = 34,973.08/205.91
  6. Step 6: Final answer
    x = 169.85

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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.