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Finding the Fourth Proportional to 205.61, 282.69 and 183.27

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Solution

The fourth proportional to 205.61, 282.69 and 183.27 is: 251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.61 : 282.69 = 183.27 : x
  2. Step 2: Convert to fraction form
    205.61/282.69 = 183.27/x
  3. Step 3: Cross multiply
    205.61x = 282.69 × 183.27
  4. Step 4: Simplify right side
    205.61x = 51,809.28
  5. Step 5: Solve for x
    x = 51,809.28/205.61
  6. Step 6: Final answer
    x = 251.98

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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.