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Finding the Fourth Proportional to 249.60, 344.50 and 166.84

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Solution

The fourth proportional to 249.60, 344.50 and 166.84 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.60 : 344.50 = 166.84 : x
  2. Step 2: Convert to fraction form
    249.60/344.50 = 166.84/x
  3. Step 3: Cross multiply
    249.60x = 344.50 × 166.84
  4. Step 4: Simplify right side
    249.60x = 57,475.55
  5. Step 5: Solve for x
    x = 57,475.55/249.60
  6. Step 6: Final answer
    x = 230.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.