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Finding the Fourth Proportional to 641, 961.32 and 208.10

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Solution

The fourth proportional to 641, 961.32 and 208.10 is: 312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641 : 961.32 = 208.10 : x
  2. Step 2: Convert to fraction form
    641/961.32 = 208.10/x
  3. Step 3: Cross multiply
    641x = 961.32 × 208.10
  4. Step 4: Simplify right side
    641x = 200,050.69
  5. Step 5: Solve for x
    x = 200,050.69/641
  6. Step 6: Final answer
    x = 312.09

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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.