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Finding the Fourth Proportional to 165.49, 247.73 and 107.59

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Solution

The fourth proportional to 165.49, 247.73 and 107.59 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.49 : 247.73 = 107.59 : x
  2. Step 2: Convert to fraction form
    165.49/247.73 = 107.59/x
  3. Step 3: Cross multiply
    165.49x = 247.73 × 107.59
  4. Step 4: Simplify right side
    165.49x = 26,653.83
  5. Step 5: Solve for x
    x = 26,653.83/165.49
  6. Step 6: Final answer
    x = 161.06

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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.