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Finding the Fourth Proportional to 213.12, 319.50 and 126.44

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Solution

The fourth proportional to 213.12, 319.50 and 126.44 is: 189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 319.50 = 126.44 : x
  2. Step 2: Convert to fraction form
    213.12/319.50 = 126.44/x
  3. Step 3: Cross multiply
    213.12x = 319.50 × 126.44
  4. Step 4: Simplify right side
    213.12x = 40,397.58
  5. Step 5: Solve for x
    x = 40,397.58/213.12
  6. Step 6: Final answer
    x = 189.55

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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.