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Finding the Fourth Proportional to 235.90, 352.10 and 208.56

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Solution

The fourth proportional to 235.90, 352.10 and 208.56 is: 311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 352.10 = 208.56 : x
  2. Step 2: Convert to fraction form
    235.90/352.10 = 208.56/x
  3. Step 3: Cross multiply
    235.90x = 352.10 × 208.56
  4. Step 4: Simplify right side
    235.90x = 73,433.98
  5. Step 5: Solve for x
    x = 73,433.98/235.90
  6. Step 6: Final answer
    x = 311.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.