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Finding the Fourth Proportional to 206.05, 284.33 and 118.72

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Solution

The fourth proportional to 206.05, 284.33 and 118.72 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 284.33 = 118.72 : x
  2. Step 2: Convert to fraction form
    206.05/284.33 = 118.72/x
  3. Step 3: Cross multiply
    206.05x = 284.33 × 118.72
  4. Step 4: Simplify right side
    206.05x = 33,755.66
  5. Step 5: Solve for x
    x = 33,755.66/206.05
  6. Step 6: Final answer
    x = 163.82

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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.