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Finding the Fourth Proportional to 255.48, 380.89 and 230.88

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Solution

The fourth proportional to 255.48, 380.89 and 230.88 is: 344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.48 : 380.89 = 230.88 : x
  2. Step 2: Convert to fraction form
    255.48/380.89 = 230.88/x
  3. Step 3: Cross multiply
    255.48x = 380.89 × 230.88
  4. Step 4: Simplify right side
    255.48x = 87,939.88
  5. Step 5: Solve for x
    x = 87,939.88/255.48
  6. Step 6: Final answer
    x = 344.21

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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.