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Finding the Fourth Proportional to 213.96, 294.36 and 197.76

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Solution

The fourth proportional to 213.96, 294.36 and 197.76 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 294.36 = 197.76 : x
  2. Step 2: Convert to fraction form
    213.96/294.36 = 197.76/x
  3. Step 3: Cross multiply
    213.96x = 294.36 × 197.76
  4. Step 4: Simplify right side
    213.96x = 58,212.63
  5. Step 5: Solve for x
    x = 58,212.63/213.96
  6. Step 6: Final answer
    x = 272.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.