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Finding the Fourth Proportional to 165.28, 228.08 and 91.59

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Solution

The fourth proportional to 165.28, 228.08 and 91.59 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 228.08 = 91.59 : x
  2. Step 2: Convert to fraction form
    165.28/228.08 = 91.59/x
  3. Step 3: Cross multiply
    165.28x = 228.08 × 91.59
  4. Step 4: Simplify right side
    165.28x = 20,889.85
  5. Step 5: Solve for x
    x = 20,889.85/165.28
  6. Step 6: Final answer
    x = 126.39

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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.