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Finding the Fourth Proportional to 255.37, 380.21 and 254.15

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Solution

The fourth proportional to 255.37, 380.21 and 254.15 is: 378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.37 : 380.21 = 254.15 : x
  2. Step 2: Convert to fraction form
    255.37/380.21 = 254.15/x
  3. Step 3: Cross multiply
    255.37x = 380.21 × 254.15
  4. Step 4: Simplify right side
    255.37x = 96,630.37
  5. Step 5: Solve for x
    x = 96,630.37/255.37
  6. Step 6: Final answer
    x = 378.39

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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.