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Finding the Fourth Proportional to 206.42, 283.25 and 187.85

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Solution

The fourth proportional to 206.42, 283.25 and 187.85 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 283.25 = 187.85 : x
  2. Step 2: Convert to fraction form
    206.42/283.25 = 187.85/x
  3. Step 3: Cross multiply
    206.42x = 283.25 × 187.85
  4. Step 4: Simplify right side
    206.42x = 53,208.63
  5. Step 5: Solve for x
    x = 53,208.63/206.42
  6. Step 6: Final answer
    x = 257.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.