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Finding the Fourth Proportional to 255.35, 380.70 and 249.89

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Solution

The fourth proportional to 255.35, 380.70 and 249.89 is: 372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.35 : 380.70 = 249.89 : x
  2. Step 2: Convert to fraction form
    255.35/380.70 = 249.89/x
  3. Step 3: Cross multiply
    255.35x = 380.70 × 249.89
  4. Step 4: Simplify right side
    255.35x = 95,131.22
  5. Step 5: Solve for x
    x = 95,131.22/255.35
  6. Step 6: Final answer
    x = 372.55

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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.