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Finding the Fourth Proportional to 211.82, 319.37 and 209.10

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Solution

The fourth proportional to 211.82, 319.37 and 209.10 is: 315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 319.37 = 209.10 : x
  2. Step 2: Convert to fraction form
    211.82/319.37 = 209.10/x
  3. Step 3: Cross multiply
    211.82x = 319.37 × 209.10
  4. Step 4: Simplify right side
    211.82x = 66,780.27
  5. Step 5: Solve for x
    x = 66,780.27/211.82
  6. Step 6: Final answer
    x = 315.27

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