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Finding the Fourth Proportional to 206.37, 285.05 and 180.09

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Solution

The fourth proportional to 206.37, 285.05 and 180.09 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 285.05 = 180.09 : x
  2. Step 2: Convert to fraction form
    206.37/285.05 = 180.09/x
  3. Step 3: Cross multiply
    206.37x = 285.05 × 180.09
  4. Step 4: Simplify right side
    206.37x = 51,333.75
  5. Step 5: Solve for x
    x = 51,333.75/206.37
  6. Step 6: Final answer
    x = 248.75

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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.