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Finding the Fourth Proportional to 577.38, 865.97 and 166.49

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Solution

The fourth proportional to 577.38, 865.97 and 166.49 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 865.97 = 166.49 : x
  2. Step 2: Convert to fraction form
    577.38/865.97 = 166.49/x
  3. Step 3: Cross multiply
    577.38x = 865.97 × 166.49
  4. Step 4: Simplify right side
    577.38x = 144,175.35
  5. Step 5: Solve for x
    x = 144,175.35/577.38
  6. Step 6: Final answer
    x = 249.71

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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.