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Finding the Fourth Proportional to 165.69, 247.28 and 161.37

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Solution

The fourth proportional to 165.69, 247.28 and 161.37 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 247.28 = 161.37 : x
  2. Step 2: Convert to fraction form
    165.69/247.28 = 161.37/x
  3. Step 3: Cross multiply
    165.69x = 247.28 × 161.37
  4. Step 4: Simplify right side
    165.69x = 39,902.77
  5. Step 5: Solve for x
    x = 39,902.77/165.69
  6. Step 6: Final answer
    x = 240.83

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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.