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Finding the Fourth Proportional to 263.70, 393.89 and 209.43

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Solution

The fourth proportional to 263.70, 393.89 and 209.43 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 393.89 = 209.43 : x
  2. Step 2: Convert to fraction form
    263.70/393.89 = 209.43/x
  3. Step 3: Cross multiply
    263.70x = 393.89 × 209.43
  4. Step 4: Simplify right side
    263.70x = 82,491.34
  5. Step 5: Solve for x
    x = 82,491.34/263.70
  6. Step 6: Final answer
    x = 312.82

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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.