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Finding the Fourth Proportional to 263.80, 364.06 and 208.96

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Solution

The fourth proportional to 263.80, 364.06 and 208.96 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 364.06 = 208.96 : x
  2. Step 2: Convert to fraction form
    263.80/364.06 = 208.96/x
  3. Step 3: Cross multiply
    263.80x = 364.06 × 208.96
  4. Step 4: Simplify right side
    263.80x = 76,073.98
  5. Step 5: Solve for x
    x = 76,073.98/263.80
  6. Step 6: Final answer
    x = 288.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.