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Finding the Fourth Proportional to 641.12, 961.72 and 208.22

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Solution

The fourth proportional to 641.12, 961.72 and 208.22 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 961.72 = 208.22 : x
  2. Step 2: Convert to fraction form
    641.12/961.72 = 208.22/x
  3. Step 3: Cross multiply
    641.12x = 961.72 × 208.22
  4. Step 4: Simplify right side
    641.12x = 200,249.34
  5. Step 5: Solve for x
    x = 200,249.34/641.12
  6. Step 6: Final answer
    x = 312.34

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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.