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Finding the Fourth Proportional to 206.55, 285 and 132.83

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Solution

The fourth proportional to 206.55, 285 and 132.83 is: 183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 285 = 132.83 : x
  2. Step 2: Convert to fraction form
    206.55/285 = 132.83/x
  3. Step 3: Cross multiply
    206.55x = 285 × 132.83
  4. Step 4: Simplify right side
    206.55x = 37,855.13
  5. Step 5: Solve for x
    x = 37,855.13/206.55
  6. Step 6: Final answer
    x = 183.27

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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.