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Finding the Fourth Proportional to 263.72, 393.22 and 263.36

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Solution

The fourth proportional to 263.72, 393.22 and 263.36 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 393.22 = 263.36 : x
  2. Step 2: Convert to fraction form
    263.72/393.22 = 263.36/x
  3. Step 3: Cross multiply
    263.72x = 393.22 × 263.36
  4. Step 4: Simplify right side
    263.72x = 103,558.42
  5. Step 5: Solve for x
    x = 103,558.42/263.72
  6. Step 6: Final answer
    x = 392.68

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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.