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Finding the Fourth Proportional to 641.53, 961.25 and 251.09

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Solution

The fourth proportional to 641.53, 961.25 and 251.09 is: 376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.53 : 961.25 = 251.09 : x
  2. Step 2: Convert to fraction form
    641.53/961.25 = 251.09/x
  3. Step 3: Cross multiply
    641.53x = 961.25 × 251.09
  4. Step 4: Simplify right side
    641.53x = 241,360.26
  5. Step 5: Solve for x
    x = 241,360.26/641.53
  6. Step 6: Final answer
    x = 376.23

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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.