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Finding the Fourth Proportional to 205.01, 282.78 and 131.21

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Solution

The fourth proportional to 205.01, 282.78 and 131.21 is: 180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.01 : 282.78 = 131.21 : x
  2. Step 2: Convert to fraction form
    205.01/282.78 = 131.21/x
  3. Step 3: Cross multiply
    205.01x = 282.78 × 131.21
  4. Step 4: Simplify right side
    205.01x = 37,103.56
  5. Step 5: Solve for x
    x = 37,103.56/205.01
  6. Step 6: Final answer
    x = 180.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.