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Finding the Fourth Proportional to 253.25, 378.41 and 201.35

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Solution

The fourth proportional to 253.25, 378.41 and 201.35 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.25 : 378.41 = 201.35 : x
  2. Step 2: Convert to fraction form
    253.25/378.41 = 201.35/x
  3. Step 3: Cross multiply
    253.25x = 378.41 × 201.35
  4. Step 4: Simplify right side
    253.25x = 76,192.85
  5. Step 5: Solve for x
    x = 76,192.85/253.25
  6. Step 6: Final answer
    x = 300.86

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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.