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Finding the Fourth Proportional to 205.85, 284.01 and 132.21

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Solution

The fourth proportional to 205.85, 284.01 and 132.21 is: 182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.85 : 284.01 = 132.21 : x
  2. Step 2: Convert to fraction form
    205.85/284.01 = 132.21/x
  3. Step 3: Cross multiply
    205.85x = 284.01 × 132.21
  4. Step 4: Simplify right side
    205.85x = 37,548.30
  5. Step 5: Solve for x
    x = 37,548.30/205.85
  6. Step 6: Final answer
    x = 182.41

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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.