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Finding the Fourth Proportional to 206.41, 285.01 and 154.55

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Solution

The fourth proportional to 206.41, 285.01 and 154.55 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.41 : 285.01 = 154.55 : x
  2. Step 2: Convert to fraction form
    206.41/285.01 = 154.55/x
  3. Step 3: Cross multiply
    206.41x = 285.01 × 154.55
  4. Step 4: Simplify right side
    206.41x = 44,048.30
  5. Step 5: Solve for x
    x = 44,048.30/206.41
  6. Step 6: Final answer
    x = 213.40

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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.