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Finding the Fourth Proportional to 577.34, 866.06 and 166.49

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Solution

The fourth proportional to 577.34, 866.06 and 166.49 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 866.06 = 166.49 : x
  2. Step 2: Convert to fraction form
    577.34/866.06 = 166.49/x
  3. Step 3: Cross multiply
    577.34x = 866.06 × 166.49
  4. Step 4: Simplify right side
    577.34x = 144,190.33
  5. Step 5: Solve for x
    x = 144,190.33/577.34
  6. Step 6: Final answer
    x = 249.75

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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.