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Finding the Fourth Proportional to 206.88, 285.19 and 141.27

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Solution

The fourth proportional to 206.88, 285.19 and 141.27 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 285.19 = 141.27 : x
  2. Step 2: Convert to fraction form
    206.88/285.19 = 141.27/x
  3. Step 3: Cross multiply
    206.88x = 285.19 × 141.27
  4. Step 4: Simplify right side
    206.88x = 40,288.79
  5. Step 5: Solve for x
    x = 40,288.79/206.88
  6. Step 6: Final answer
    x = 194.74

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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.