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Finding the Fourth Proportional to 641.70, 962.22 and 208.80

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Solution

The fourth proportional to 641.70, 962.22 and 208.80 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 962.22 = 208.80 : x
  2. Step 2: Convert to fraction form
    641.70/962.22 = 208.80/x
  3. Step 3: Cross multiply
    641.70x = 962.22 × 208.80
  4. Step 4: Simplify right side
    641.70x = 200,911.54
  5. Step 5: Solve for x
    x = 200,911.54/641.70
  6. Step 6: Final answer
    x = 313.09

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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.