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Finding the Fourth Proportional to 185.60, 279.92 and 166.40

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Solution

The fourth proportional to 185.60, 279.92 and 166.40 is: 250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 279.92 = 166.40 : x
  2. Step 2: Convert to fraction form
    185.60/279.92 = 166.40/x
  3. Step 3: Cross multiply
    185.60x = 279.92 × 166.40
  4. Step 4: Simplify right side
    185.60x = 46,578.69
  5. Step 5: Solve for x
    x = 46,578.69/185.60
  6. Step 6: Final answer
    x = 250.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.