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Finding the Fourth Proportional to 239.87, 357.84 and 231.66

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Solution

The fourth proportional to 239.87, 357.84 and 231.66 is: 345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.87 : 357.84 = 231.66 : x
  2. Step 2: Convert to fraction form
    239.87/357.84 = 231.66/x
  3. Step 3: Cross multiply
    239.87x = 357.84 × 231.66
  4. Step 4: Simplify right side
    239.87x = 82,897.21
  5. Step 5: Solve for x
    x = 82,897.21/239.87
  6. Step 6: Final answer
    x = 345.60

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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.