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Finding the Fourth Proportional to 165.30, 228.21 and 103.21

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Solution

The fourth proportional to 165.30, 228.21 and 103.21 is: 142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 228.21 = 103.21 : x
  2. Step 2: Convert to fraction form
    165.30/228.21 = 103.21/x
  3. Step 3: Cross multiply
    165.30x = 228.21 × 103.21
  4. Step 4: Simplify right side
    165.30x = 23,553.55
  5. Step 5: Solve for x
    x = 23,553.55/165.30
  6. Step 6: Final answer
    x = 142.49

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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.