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Finding the Fourth Proportional to 263.70, 363.72 and 208.35

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Solution

The fourth proportional to 263.70, 363.72 and 208.35 is: 287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 363.72 = 208.35 : x
  2. Step 2: Convert to fraction form
    263.70/363.72 = 208.35/x
  3. Step 3: Cross multiply
    263.70x = 363.72 × 208.35
  4. Step 4: Simplify right side
    263.70x = 75,781.06
  5. Step 5: Solve for x
    x = 75,781.06/263.70
  6. Step 6: Final answer
    x = 287.38

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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.