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Finding the Fourth Proportional to 165.07, 227.57 and 141.65

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Solution

The fourth proportional to 165.07, 227.57 and 141.65 is: 195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.07 : 227.57 = 141.65 : x
  2. Step 2: Convert to fraction form
    165.07/227.57 = 141.65/x
  3. Step 3: Cross multiply
    165.07x = 227.57 × 141.65
  4. Step 4: Simplify right side
    165.07x = 32,236.21
  5. Step 5: Solve for x
    x = 32,236.21/165.07
  6. Step 6: Final answer
    x = 195.29

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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.