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Finding the Fourth Proportional to 206.50, 285.18 and 154.66

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Solution

The fourth proportional to 206.50, 285.18 and 154.66 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 285.18 = 154.66 : x
  2. Step 2: Convert to fraction form
    206.50/285.18 = 154.66/x
  3. Step 3: Cross multiply
    206.50x = 285.18 × 154.66
  4. Step 4: Simplify right side
    206.50x = 44,105.94
  5. Step 5: Solve for x
    x = 44,105.94/206.50
  6. Step 6: Final answer
    x = 213.59

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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.