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Finding the Fourth Proportional to 235.75, 353.49 and 208.75

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Solution

The fourth proportional to 235.75, 353.49 and 208.75 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.75 : 353.49 = 208.75 : x
  2. Step 2: Convert to fraction form
    235.75/353.49 = 208.75/x
  3. Step 3: Cross multiply
    235.75x = 353.49 × 208.75
  4. Step 4: Simplify right side
    235.75x = 73,791.04
  5. Step 5: Solve for x
    x = 73,791.04/235.75
  6. Step 6: Final answer
    x = 313.01

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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.