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Finding the Fourth Proportional to 538.75, 808.13 and 196.75

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Solution

The fourth proportional to 538.75, 808.13 and 196.75 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 808.13 = 196.75 : x
  2. Step 2: Convert to fraction form
    538.75/808.13 = 196.75/x
  3. Step 3: Cross multiply
    538.75x = 808.13 × 196.75
  4. Step 4: Simplify right side
    538.75x = 158,999.58
  5. Step 5: Solve for x
    x = 158,999.58/538.75
  6. Step 6: Final answer
    x = 295.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.