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Finding the Fourth Proportional to 206.21, 308.01 and 187.98

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Solution

The fourth proportional to 206.21, 308.01 and 187.98 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 308.01 = 187.98 : x
  2. Step 2: Convert to fraction form
    206.21/308.01 = 187.98/x
  3. Step 3: Cross multiply
    206.21x = 308.01 × 187.98
  4. Step 4: Simplify right side
    206.21x = 57,899.72
  5. Step 5: Solve for x
    x = 57,899.72/206.21
  6. Step 6: Final answer
    x = 280.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.