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Finding the Fourth Proportional to 205.77, 282.28 and 193.35

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Solution

The fourth proportional to 205.77, 282.28 and 193.35 is: 265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 282.28 = 193.35 : x
  2. Step 2: Convert to fraction form
    205.77/282.28 = 193.35/x
  3. Step 3: Cross multiply
    205.77x = 282.28 × 193.35
  4. Step 4: Simplify right side
    205.77x = 54,578.35
  5. Step 5: Solve for x
    x = 54,578.35/205.77
  6. Step 6: Final answer
    x = 265.24

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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.