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Finding the Fourth Proportional to 213.12, 319.46 and 115.56

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Solution

The fourth proportional to 213.12, 319.46 and 115.56 is: 173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 319.46 = 115.56 : x
  2. Step 2: Convert to fraction form
    213.12/319.46 = 115.56/x
  3. Step 3: Cross multiply
    213.12x = 319.46 × 115.56
  4. Step 4: Simplify right side
    213.12x = 36,916.22
  5. Step 5: Solve for x
    x = 36,916.22/213.12
  6. Step 6: Final answer
    x = 173.22

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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.