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Finding the Fourth Proportional to 239.23, 357.17 and 211.96

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Solution

The fourth proportional to 239.23, 357.17 and 211.96 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.23 : 357.17 = 211.96 : x
  2. Step 2: Convert to fraction form
    239.23/357.17 = 211.96/x
  3. Step 3: Cross multiply
    239.23x = 357.17 × 211.96
  4. Step 4: Simplify right side
    239.23x = 75,705.75
  5. Step 5: Solve for x
    x = 75,705.75/239.23
  6. Step 6: Final answer
    x = 316.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.