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Finding the Fourth Proportional to 205.93, 284.16 and 191.23

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Solution

The fourth proportional to 205.93, 284.16 and 191.23 is: 263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 284.16 = 191.23 : x
  2. Step 2: Convert to fraction form
    205.93/284.16 = 191.23/x
  3. Step 3: Cross multiply
    205.93x = 284.16 × 191.23
  4. Step 4: Simplify right side
    205.93x = 54,339.92
  5. Step 5: Solve for x
    x = 54,339.92/205.93
  6. Step 6: Final answer
    x = 263.88

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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.