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Finding the Fourth Proportional to 641.09, 961.74 and 178.89

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Solution

The fourth proportional to 641.09, 961.74 and 178.89 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.09 : 961.74 = 178.89 : x
  2. Step 2: Convert to fraction form
    641.09/961.74 = 178.89/x
  3. Step 3: Cross multiply
    641.09x = 961.74 × 178.89
  4. Step 4: Simplify right side
    641.09x = 172,045.67
  5. Step 5: Solve for x
    x = 172,045.67/641.09
  6. Step 6: Final answer
    x = 268.37

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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.