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Finding the Fourth Proportional to 239.46, 329.10 and 211.66

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Solution

The fourth proportional to 239.46, 329.10 and 211.66 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 329.10 = 211.66 : x
  2. Step 2: Convert to fraction form
    239.46/329.10 = 211.66/x
  3. Step 3: Cross multiply
    239.46x = 329.10 × 211.66
  4. Step 4: Simplify right side
    239.46x = 69,657.31
  5. Step 5: Solve for x
    x = 69,657.31/239.46
  6. Step 6: Final answer
    x = 290.89

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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.