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Finding the Fourth Proportional to 641.09, 961.59 and 202.33

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Solution

The fourth proportional to 641.09, 961.59 and 202.33 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.09 : 961.59 = 202.33 : x
  2. Step 2: Convert to fraction form
    641.09/961.59 = 202.33/x
  3. Step 3: Cross multiply
    641.09x = 961.59 × 202.33
  4. Step 4: Simplify right side
    641.09x = 194,558.50
  5. Step 5: Solve for x
    x = 194,558.50/641.09
  6. Step 6: Final answer
    x = 303.48

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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.