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Finding the Fourth Proportional to 253.92, 378.21 and 252.57

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Solution

The fourth proportional to 253.92, 378.21 and 252.57 is: 376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 378.21 = 252.57 : x
  2. Step 2: Convert to fraction form
    253.92/378.21 = 252.57/x
  3. Step 3: Cross multiply
    253.92x = 378.21 × 252.57
  4. Step 4: Simplify right side
    253.92x = 95,524.50
  5. Step 5: Solve for x
    x = 95,524.50/253.92
  6. Step 6: Final answer
    x = 376.20

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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.