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Finding the Fourth Proportional to 205.12, 280.91 and 202.42

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Solution

The fourth proportional to 205.12, 280.91 and 202.42 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.12 : 280.91 = 202.42 : x
  2. Step 2: Convert to fraction form
    205.12/280.91 = 202.42/x
  3. Step 3: Cross multiply
    205.12x = 280.91 × 202.42
  4. Step 4: Simplify right side
    205.12x = 56,861.80
  5. Step 5: Solve for x
    x = 56,861.80/205.12
  6. Step 6: Final answer
    x = 277.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.