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Finding the Fourth Proportional to 206.86, 285.33 and 133.27

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Solution

The fourth proportional to 206.86, 285.33 and 133.27 is: 183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 285.33 = 133.27 : x
  2. Step 2: Convert to fraction form
    206.86/285.33 = 133.27/x
  3. Step 3: Cross multiply
    206.86x = 285.33 × 133.27
  4. Step 4: Simplify right side
    206.86x = 38,025.93
  5. Step 5: Solve for x
    x = 38,025.93/206.86
  6. Step 6: Final answer
    x = 183.82

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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.