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Finding the Fourth Proportional to 253.87, 377.92 and 252.50

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Solution

The fourth proportional to 253.87, 377.92 and 252.50 is: 375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.87 : 377.92 = 252.50 : x
  2. Step 2: Convert to fraction form
    253.87/377.92 = 252.50/x
  3. Step 3: Cross multiply
    253.87x = 377.92 × 252.50
  4. Step 4: Simplify right side
    253.87x = 95,423.23
  5. Step 5: Solve for x
    x = 95,423.23/253.87
  6. Step 6: Final answer
    x = 375.88

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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.