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Finding the Fourth Proportional to 206.69, 285.11 and 165.23

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Solution

The fourth proportional to 206.69, 285.11 and 165.23 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 285.11 = 165.23 : x
  2. Step 2: Convert to fraction form
    206.69/285.11 = 165.23/x
  3. Step 3: Cross multiply
    206.69x = 285.11 × 165.23
  4. Step 4: Simplify right side
    206.69x = 47,106.47
  5. Step 5: Solve for x
    x = 47,106.47/206.69
  6. Step 6: Final answer
    x = 227.91

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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.