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Finding the Fourth Proportional to 263.94, 395.57 and 126.72

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Solution

The fourth proportional to 263.94, 395.57 and 126.72 is: 189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 395.57 = 126.72 : x
  2. Step 2: Convert to fraction form
    263.94/395.57 = 126.72/x
  3. Step 3: Cross multiply
    263.94x = 395.57 × 126.72
  4. Step 4: Simplify right side
    263.94x = 50,124.99
  5. Step 5: Solve for x
    x = 50,124.99/263.94
  6. Step 6: Final answer
    x = 189.91

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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.