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Finding the Fourth Proportional to 263.91, 364.32 and 208.47

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Solution

The fourth proportional to 263.91, 364.32 and 208.47 is: 287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.91 : 364.32 = 208.47 : x
  2. Step 2: Convert to fraction form
    263.91/364.32 = 208.47/x
  3. Step 3: Cross multiply
    263.91x = 364.32 × 208.47
  4. Step 4: Simplify right side
    263.91x = 75,949.79
  5. Step 5: Solve for x
    x = 75,949.79/263.91
  6. Step 6: Final answer
    x = 287.79

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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.