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Finding the Fourth Proportional to 205.86, 284.67 and 202.22

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Solution

The fourth proportional to 205.86, 284.67 and 202.22 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.86 : 284.67 = 202.22 : x
  2. Step 2: Convert to fraction form
    205.86/284.67 = 202.22/x
  3. Step 3: Cross multiply
    205.86x = 284.67 × 202.22
  4. Step 4: Simplify right side
    205.86x = 57,565.97
  5. Step 5: Solve for x
    x = 57,565.97/205.86
  6. Step 6: Final answer
    x = 279.64

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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.