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Finding the Fourth Proportional to 213.69, 320.42 and 91.92

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Solution

The fourth proportional to 213.69, 320.42 and 91.92 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 320.42 = 91.92 : x
  2. Step 2: Convert to fraction form
    213.69/320.42 = 91.92/x
  3. Step 3: Cross multiply
    213.69x = 320.42 × 91.92
  4. Step 4: Simplify right side
    213.69x = 29,453.60
  5. Step 5: Solve for x
    x = 29,453.60/213.69
  6. Step 6: Final answer
    x = 137.83

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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.