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Finding the Fourth Proportional to 165.87, 227.41 and 162.94

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Solution

The fourth proportional to 165.87, 227.41 and 162.94 is: 223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.87 : 227.41 = 162.94 : x
  2. Step 2: Convert to fraction form
    165.87/227.41 = 162.94/x
  3. Step 3: Cross multiply
    165.87x = 227.41 × 162.94
  4. Step 4: Simplify right side
    165.87x = 37,054.19
  5. Step 5: Solve for x
    x = 37,054.19/165.87
  6. Step 6: Final answer
    x = 223.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.