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Finding the Fourth Proportional to 375.45, 563.22 and 254.49

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Solution

The fourth proportional to 375.45, 563.22 and 254.49 is: 381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 563.22 = 254.49 : x
  2. Step 2: Convert to fraction form
    375.45/563.22 = 254.49/x
  3. Step 3: Cross multiply
    375.45x = 563.22 × 254.49
  4. Step 4: Simplify right side
    375.45x = 143,333.86
  5. Step 5: Solve for x
    x = 143,333.86/375.45
  6. Step 6: Final answer
    x = 381.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.