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Finding the Fourth Proportional to 206.85, 285.27 and 180.58

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Solution

The fourth proportional to 206.85, 285.27 and 180.58 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 285.27 = 180.58 : x
  2. Step 2: Convert to fraction form
    206.85/285.27 = 180.58/x
  3. Step 3: Cross multiply
    206.85x = 285.27 × 180.58
  4. Step 4: Simplify right side
    206.85x = 51,514.22
  5. Step 5: Solve for x
    x = 51,514.22/206.85
  6. Step 6: Final answer
    x = 249.04

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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.