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Finding the Fourth Proportional to 165.59, 246.42 and 160.73

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Solution

The fourth proportional to 165.59, 246.42 and 160.73 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.59 : 246.42 = 160.73 : x
  2. Step 2: Convert to fraction form
    165.59/246.42 = 160.73/x
  3. Step 3: Cross multiply
    165.59x = 246.42 × 160.73
  4. Step 4: Simplify right side
    165.59x = 39,605.85
  5. Step 5: Solve for x
    x = 39,605.85/165.59
  6. Step 6: Final answer
    x = 239.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.