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Finding the Fourth Proportional to 293.87, 441.23 and 253.28

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Solution

The fourth proportional to 293.87, 441.23 and 253.28 is: 380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.87 : 441.23 = 253.28 : x
  2. Step 2: Convert to fraction form
    293.87/441.23 = 253.28/x
  3. Step 3: Cross multiply
    293.87x = 441.23 × 253.28
  4. Step 4: Simplify right side
    293.87x = 111,754.57
  5. Step 5: Solve for x
    x = 111,754.57/293.87
  6. Step 6: Final answer
    x = 380.28

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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.