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Finding the Fourth Proportional to 239.96, 329.79 and 212.15

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Solution

The fourth proportional to 239.96, 329.79 and 212.15 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 329.79 = 212.15 : x
  2. Step 2: Convert to fraction form
    239.96/329.79 = 212.15/x
  3. Step 3: Cross multiply
    239.96x = 329.79 × 212.15
  4. Step 4: Simplify right side
    239.96x = 69,964.95
  5. Step 5: Solve for x
    x = 69,964.95/239.96
  6. Step 6: Final answer
    x = 291.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.