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Finding the Fourth Proportional to 206.03, 284.41 and 161.66

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Solution

The fourth proportional to 206.03, 284.41 and 161.66 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.03 : 284.41 = 161.66 : x
  2. Step 2: Convert to fraction form
    206.03/284.41 = 161.66/x
  3. Step 3: Cross multiply
    206.03x = 284.41 × 161.66
  4. Step 4: Simplify right side
    206.03x = 45,978.63
  5. Step 5: Solve for x
    x = 45,978.63/206.03
  6. Step 6: Final answer
    x = 223.17

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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.