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Finding the Fourth Proportional to 211.96, 319.72 and 209.86

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Solution

The fourth proportional to 211.96, 319.72 and 209.86 is: 316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.96 : 319.72 = 209.86 : x
  2. Step 2: Convert to fraction form
    211.96/319.72 = 209.86/x
  3. Step 3: Cross multiply
    211.96x = 319.72 × 209.86
  4. Step 4: Simplify right side
    211.96x = 67,096.44
  5. Step 5: Solve for x
    x = 67,096.44/211.96
  6. Step 6: Final answer
    x = 316.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.