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Finding the Fourth Proportional to 629.40, 943.24 and 263.76

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Solution

The fourth proportional to 629.40, 943.24 and 263.76 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.40 : 943.24 = 263.76 : x
  2. Step 2: Convert to fraction form
    629.40/943.24 = 263.76/x
  3. Step 3: Cross multiply
    629.40x = 943.24 × 263.76
  4. Step 4: Simplify right side
    629.40x = 248,788.98
  5. Step 5: Solve for x
    x = 248,788.98/629.40
  6. Step 6: Final answer
    x = 395.28

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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.