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Finding the Fourth Proportional to 213.26, 319.61 and 91.35

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Solution

The fourth proportional to 213.26, 319.61 and 91.35 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.26 : 319.61 = 91.35 : x
  2. Step 2: Convert to fraction form
    213.26/319.61 = 91.35/x
  3. Step 3: Cross multiply
    213.26x = 319.61 × 91.35
  4. Step 4: Simplify right side
    213.26x = 29,195.92
  5. Step 5: Solve for x
    x = 29,195.92/213.26
  6. Step 6: Final answer
    x = 136.91

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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.