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Finding the Fourth Proportional to 212.36, 316.71 and 194.67

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Solution

The fourth proportional to 212.36, 316.71 and 194.67 is: 290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.36 : 316.71 = 194.67 : x
  2. Step 2: Convert to fraction form
    212.36/316.71 = 194.67/x
  3. Step 3: Cross multiply
    212.36x = 316.71 × 194.67
  4. Step 4: Simplify right side
    212.36x = 61,653.94
  5. Step 5: Solve for x
    x = 61,653.94/212.36
  6. Step 6: Final answer
    x = 290.33

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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.