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Finding the Fourth Proportional to 255.25, 382.96 and 231.15

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Solution

The fourth proportional to 255.25, 382.96 and 231.15 is: 346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.25 : 382.96 = 231.15 : x
  2. Step 2: Convert to fraction form
    255.25/382.96 = 231.15/x
  3. Step 3: Cross multiply
    255.25x = 382.96 × 231.15
  4. Step 4: Simplify right side
    255.25x = 88,522.93
  5. Step 5: Solve for x
    x = 88,522.93/255.25
  6. Step 6: Final answer
    x = 346.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.