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Finding the Fourth Proportional to 165.33, 229.20 and 161.99

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Solution

The fourth proportional to 165.33, 229.20 and 161.99 is: 224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.33 : 229.20 = 161.99 : x
  2. Step 2: Convert to fraction form
    165.33/229.20 = 161.99/x
  3. Step 3: Cross multiply
    165.33x = 229.20 × 161.99
  4. Step 4: Simplify right side
    165.33x = 37,128.11
  5. Step 5: Solve for x
    x = 37,128.11/165.33
  6. Step 6: Final answer
    x = 224.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.