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Finding the Fourth Proportional to 211.19, 316.97 and 182.39

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Solution

The fourth proportional to 211.19, 316.97 and 182.39 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 316.97 = 182.39 : x
  2. Step 2: Convert to fraction form
    211.19/316.97 = 182.39/x
  3. Step 3: Cross multiply
    211.19x = 316.97 × 182.39
  4. Step 4: Simplify right side
    211.19x = 57,811.25
  5. Step 5: Solve for x
    x = 57,811.25/211.19
  6. Step 6: Final answer
    x = 273.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.