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Finding the Fourth Proportional to 205.74, 283.77 and 140.22

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Solution

The fourth proportional to 205.74, 283.77 and 140.22 is: 193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 283.77 = 140.22 : x
  2. Step 2: Convert to fraction form
    205.74/283.77 = 140.22/x
  3. Step 3: Cross multiply
    205.74x = 283.77 × 140.22
  4. Step 4: Simplify right side
    205.74x = 39,790.23
  5. Step 5: Solve for x
    x = 39,790.23/205.74
  6. Step 6: Final answer
    x = 193.40

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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.