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Finding the Fourth Proportional to 263.94, 393.24 and 252.36

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Solution

The fourth proportional to 263.94, 393.24 and 252.36 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 393.24 = 252.36 : x
  2. Step 2: Convert to fraction form
    263.94/393.24 = 252.36/x
  3. Step 3: Cross multiply
    263.94x = 393.24 × 252.36
  4. Step 4: Simplify right side
    263.94x = 99,238.05
  5. Step 5: Solve for x
    x = 99,238.05/263.94
  6. Step 6: Final answer
    x = 375.99

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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.