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Finding the Fourth Proportional to 165.58, 228.52 and 91.92

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Solution

The fourth proportional to 165.58, 228.52 and 91.92 is: 126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 228.52 = 91.92 : x
  2. Step 2: Convert to fraction form
    165.58/228.52 = 91.92/x
  3. Step 3: Cross multiply
    165.58x = 228.52 × 91.92
  4. Step 4: Simplify right side
    165.58x = 21,004.42
  5. Step 5: Solve for x
    x = 21,004.42/165.58
  6. Step 6: Final answer
    x = 126.85

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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.