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Finding the Fourth Proportional to 177.94, 246.68 and 166.90

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Solution

The fourth proportional to 177.94, 246.68 and 166.90 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 246.68 = 166.90 : x
  2. Step 2: Convert to fraction form
    177.94/246.68 = 166.90/x
  3. Step 3: Cross multiply
    177.94x = 246.68 × 166.90
  4. Step 4: Simplify right side
    177.94x = 41,170.89
  5. Step 5: Solve for x
    x = 41,170.89/177.94
  6. Step 6: Final answer
    x = 231.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.