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Finding the Fourth Proportional to 212.92, 320.60 and 159.20

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Solution

The fourth proportional to 212.92, 320.60 and 159.20 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 320.60 = 159.20 : x
  2. Step 2: Convert to fraction form
    212.92/320.60 = 159.20/x
  3. Step 3: Cross multiply
    212.92x = 320.60 × 159.20
  4. Step 4: Simplify right side
    212.92x = 51,039.52
  5. Step 5: Solve for x
    x = 51,039.52/212.92
  6. Step 6: Final answer
    x = 239.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.