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Finding the Fourth Proportional to 165.35, 227.87 and 118.64

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Solution

The fourth proportional to 165.35, 227.87 and 118.64 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 227.87 = 118.64 : x
  2. Step 2: Convert to fraction form
    165.35/227.87 = 118.64/x
  3. Step 3: Cross multiply
    165.35x = 227.87 × 118.64
  4. Step 4: Simplify right side
    165.35x = 27,034.50
  5. Step 5: Solve for x
    x = 27,034.50/165.35
  6. Step 6: Final answer
    x = 163.50

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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.