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Finding the Fourth Proportional to 212.92, 319.34 and 159.16

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Solution

The fourth proportional to 212.92, 319.34 and 159.16 is: 238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 319.34 = 159.16 : x
  2. Step 2: Convert to fraction form
    212.92/319.34 = 159.16/x
  3. Step 3: Cross multiply
    212.92x = 319.34 × 159.16
  4. Step 4: Simplify right side
    212.92x = 50,826.15
  5. Step 5: Solve for x
    x = 50,826.15/212.92
  6. Step 6: Final answer
    x = 238.71

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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.