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Finding the Fourth Proportional to 240.14, 357.75 and 231.43

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Solution

The fourth proportional to 240.14, 357.75 and 231.43 is: 344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 357.75 = 231.43 : x
  2. Step 2: Convert to fraction form
    240.14/357.75 = 231.43/x
  3. Step 3: Cross multiply
    240.14x = 357.75 × 231.43
  4. Step 4: Simplify right side
    240.14x = 82,794.08
  5. Step 5: Solve for x
    x = 82,794.08/240.14
  6. Step 6: Final answer
    x = 344.77

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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.