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Finding the Fourth Proportional to 235.73, 351.85 and 208.70

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Solution

The fourth proportional to 235.73, 351.85 and 208.70 is: 311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.73 : 351.85 = 208.70 : x
  2. Step 2: Convert to fraction form
    235.73/351.85 = 208.70/x
  3. Step 3: Cross multiply
    235.73x = 351.85 × 208.70
  4. Step 4: Simplify right side
    235.73x = 73,431.10
  5. Step 5: Solve for x
    x = 73,431.10/235.73
  6. Step 6: Final answer
    x = 311.51

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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.