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Finding the Fourth Proportional to 206.57, 285.13 and 118.11

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Solution

The fourth proportional to 206.57, 285.13 and 118.11 is: 163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 285.13 = 118.11 : x
  2. Step 2: Convert to fraction form
    206.57/285.13 = 118.11/x
  3. Step 3: Cross multiply
    206.57x = 285.13 × 118.11
  4. Step 4: Simplify right side
    206.57x = 33,676.70
  5. Step 5: Solve for x
    x = 33,676.70/206.57
  6. Step 6: Final answer
    x = 163.03

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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.