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Finding the Fourth Proportional to 255.45, 380.85 and 249.06

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Solution

The fourth proportional to 255.45, 380.85 and 249.06 is: 371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.45 : 380.85 = 249.06 : x
  2. Step 2: Convert to fraction form
    255.45/380.85 = 249.06/x
  3. Step 3: Cross multiply
    255.45x = 380.85 × 249.06
  4. Step 4: Simplify right side
    255.45x = 94,854.50
  5. Step 5: Solve for x
    x = 94,854.50/255.45
  6. Step 6: Final answer
    x = 371.32

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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.