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Finding the Fourth Proportional to 253.68, 378.81 and 201.75

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Solution

The fourth proportional to 253.68, 378.81 and 201.75 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.68 : 378.81 = 201.75 : x
  2. Step 2: Convert to fraction form
    253.68/378.81 = 201.75/x
  3. Step 3: Cross multiply
    253.68x = 378.81 × 201.75
  4. Step 4: Simplify right side
    253.68x = 76,424.92
  5. Step 5: Solve for x
    x = 76,424.92/253.68
  6. Step 6: Final answer
    x = 301.27

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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.