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Finding the Fourth Proportional to 206.96, 285.73 and 141.55

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Solution

The fourth proportional to 206.96, 285.73 and 141.55 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 285.73 = 141.55 : x
  2. Step 2: Convert to fraction form
    206.96/285.73 = 141.55/x
  3. Step 3: Cross multiply
    206.96x = 285.73 × 141.55
  4. Step 4: Simplify right side
    206.96x = 40,444.01
  5. Step 5: Solve for x
    x = 40,444.01/206.96
  6. Step 6: Final answer
    x = 195.42

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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.