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Finding the Fourth Proportional to 205.26, 283.15 and 135.33

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Solution

The fourth proportional to 205.26, 283.15 and 135.33 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 283.15 = 135.33 : x
  2. Step 2: Convert to fraction form
    205.26/283.15 = 135.33/x
  3. Step 3: Cross multiply
    205.26x = 283.15 × 135.33
  4. Step 4: Simplify right side
    205.26x = 38,318.69
  5. Step 5: Solve for x
    x = 38,318.69/205.26
  6. Step 6: Final answer
    x = 186.68

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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.