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Finding the Fourth Proportional to 165.41, 228.22 and 103.22

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Solution

The fourth proportional to 165.41, 228.22 and 103.22 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 228.22 = 103.22 : x
  2. Step 2: Convert to fraction form
    165.41/228.22 = 103.22/x
  3. Step 3: Cross multiply
    165.41x = 228.22 × 103.22
  4. Step 4: Simplify right side
    165.41x = 23,556.87
  5. Step 5: Solve for x
    x = 23,556.87/165.41
  6. Step 6: Final answer
    x = 142.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.