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Finding the Fourth Proportional to 205.25, 283.43 and 185.81

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Solution

The fourth proportional to 205.25, 283.43 and 185.81 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 283.43 = 185.81 : x
  2. Step 2: Convert to fraction form
    205.25/283.43 = 185.81/x
  3. Step 3: Cross multiply
    205.25x = 283.43 × 185.81
  4. Step 4: Simplify right side
    205.25x = 52,663.18
  5. Step 5: Solve for x
    x = 52,663.18/205.25
  6. Step 6: Final answer
    x = 256.59

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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.