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Finding the Fourth Proportional to 255.50, 380.41 and 254.35

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Solution

The fourth proportional to 255.50, 380.41 and 254.35 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.50 : 380.41 = 254.35 : x
  2. Step 2: Convert to fraction form
    255.50/380.41 = 254.35/x
  3. Step 3: Cross multiply
    255.50x = 380.41 × 254.35
  4. Step 4: Simplify right side
    255.50x = 96,757.28
  5. Step 5: Solve for x
    x = 96,757.28/255.50
  6. Step 6: Final answer
    x = 378.70

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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.