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Finding the Fourth Proportional to 577.39, 865.96 and 166.43

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Solution

The fourth proportional to 577.39, 865.96 and 166.43 is: 249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.39 : 865.96 = 166.43 : x
  2. Step 2: Convert to fraction form
    577.39/865.96 = 166.43/x
  3. Step 3: Cross multiply
    577.39x = 865.96 × 166.43
  4. Step 4: Simplify right side
    577.39x = 144,124.10
  5. Step 5: Solve for x
    x = 144,124.10/577.39
  6. Step 6: Final answer
    x = 249.61

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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.