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Finding the Fourth Proportional to 165.91, 228.86 and 107.69

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Solution

The fourth proportional to 165.91, 228.86 and 107.69 is: 148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.91 : 228.86 = 107.69 : x
  2. Step 2: Convert to fraction form
    165.91/228.86 = 107.69/x
  3. Step 3: Cross multiply
    165.91x = 228.86 × 107.69
  4. Step 4: Simplify right side
    165.91x = 24,645.93
  5. Step 5: Solve for x
    x = 24,645.93/165.91
  6. Step 6: Final answer
    x = 148.55

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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.