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Finding the Fourth Proportional to 212.26, 316.37 and 195.82

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Solution

The fourth proportional to 212.26, 316.37 and 195.82 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.26 : 316.37 = 195.82 : x
  2. Step 2: Convert to fraction form
    212.26/316.37 = 195.82/x
  3. Step 3: Cross multiply
    212.26x = 316.37 × 195.82
  4. Step 4: Simplify right side
    212.26x = 61,951.57
  5. Step 5: Solve for x
    x = 61,951.57/212.26
  6. Step 6: Final answer
    x = 291.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.