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Finding the Fourth Proportional to 165.03, 227.56 and 115.81

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Solution

The fourth proportional to 165.03, 227.56 and 115.81 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 227.56 = 115.81 : x
  2. Step 2: Convert to fraction form
    165.03/227.56 = 115.81/x
  3. Step 3: Cross multiply
    165.03x = 227.56 × 115.81
  4. Step 4: Simplify right side
    165.03x = 26,353.72
  5. Step 5: Solve for x
    x = 26,353.72/165.03
  6. Step 6: Final answer
    x = 159.69

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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.