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Finding the Fourth Proportional to 263.86, 393.79 and 253.27

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Solution

The fourth proportional to 263.86, 393.79 and 253.27 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 393.79 = 253.27 : x
  2. Step 2: Convert to fraction form
    263.86/393.79 = 253.27/x
  3. Step 3: Cross multiply
    263.86x = 393.79 × 253.27
  4. Step 4: Simplify right side
    263.86x = 99,735.19
  5. Step 5: Solve for x
    x = 99,735.19/263.86
  6. Step 6: Final answer
    x = 377.99

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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.