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Finding the Fourth Proportional to 263.41, 363.71 and 214.21

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Solution

The fourth proportional to 263.41, 363.71 and 214.21 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.41 : 363.71 = 214.21 : x
  2. Step 2: Convert to fraction form
    263.41/363.71 = 214.21/x
  3. Step 3: Cross multiply
    263.41x = 363.71 × 214.21
  4. Step 4: Simplify right side
    263.41x = 77,910.32
  5. Step 5: Solve for x
    x = 77,910.32/263.41
  6. Step 6: Final answer
    x = 295.78

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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.